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Finding the Fourth Proportional to 5,598,846.82, 7,724,560.87 and 4,564,576.51

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Solution

The fourth proportional to 5,598,846.82, 7,724,560.87 and 4,564,576.51 is: 6,297,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598,846.82 : 7,724,560.87 = 4,564,576.51 : x
  2. Step 2: Convert to fraction form
    5,598,846.82/7,724,560.87 = 4,564,576.51/x
  3. Step 3: Cross multiply
    5,598,846.82x = 7,724,560.87 × 4,564,576.51
  4. Step 4: Simplify right side
    5,598,846.82x = 35,259,349,097,267.16
  5. Step 5: Solve for x
    x = 35,259,349,097,267.16/5,598,846.82
  6. Step 6: Final answer
    x = 6,297,609.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.