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Finding the Fourth Proportional to 5,688.75, 7,851.30 and 5,439.69

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Solution

The fourth proportional to 5,688.75, 7,851.30 and 5,439.69 is: 7,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.75 : 7,851.30 = 5,439.69 : x
  2. Step 2: Convert to fraction form
    5,688.75/7,851.30 = 5,439.69/x
  3. Step 3: Cross multiply
    5,688.75x = 7,851.30 × 5,439.69
  4. Step 4: Simplify right side
    5,688.75x = 42,708,638.10
  5. Step 5: Solve for x
    x = 42,708,638.10/5,688.75
  6. Step 6: Final answer
    x = 7,507.56

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