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Finding the Fourth Proportional to 5,688.96, 8,489.40 and 5,032.86

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Solution

The fourth proportional to 5,688.96, 8,489.40 and 5,032.86 is: 7,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.96 : 8,489.40 = 5,032.86 : x
  2. Step 2: Convert to fraction form
    5,688.96/8,489.40 = 5,032.86/x
  3. Step 3: Cross multiply
    5,688.96x = 8,489.40 × 5,032.86
  4. Step 4: Simplify right side
    5,688.96x = 42,725,961.68
  5. Step 5: Solve for x
    x = 42,725,961.68/5,688.96
  6. Step 6: Final answer
    x = 7,510.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.