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Finding the Fourth Proportional to 5,575.39, 7,687.31 and 4,817.81

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Solution

The fourth proportional to 5,575.39, 7,687.31 and 4,817.81 is: 6,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575.39 : 7,687.31 = 4,817.81 : x
  2. Step 2: Convert to fraction form
    5,575.39/7,687.31 = 4,817.81/x
  3. Step 3: Cross multiply
    5,575.39x = 7,687.31 × 4,817.81
  4. Step 4: Simplify right side
    5,575.39x = 37,035,994.12
  5. Step 5: Solve for x
    x = 37,035,994.12/5,575.39
  6. Step 6: Final answer
    x = 6,642.77

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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.