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Finding the Fourth Proportional to 5,688.66, 7,846.11 and 5,051.37

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Solution

The fourth proportional to 5,688.66, 7,846.11 and 5,051.37 is: 6,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.66 : 7,846.11 = 5,051.37 : x
  2. Step 2: Convert to fraction form
    5,688.66/7,846.11 = 5,051.37/x
  3. Step 3: Cross multiply
    5,688.66x = 7,846.11 × 5,051.37
  4. Step 4: Simplify right side
    5,688.66x = 39,633,604.67
  5. Step 5: Solve for x
    x = 39,633,604.67/5,688.66
  6. Step 6: Final answer
    x = 6,967.12

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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.