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Finding the Fourth Proportional to 5,715.46, 7,885.02 and 3,725.32

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Solution

The fourth proportional to 5,715.46, 7,885.02 and 3,725.32 is: 5,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.46 : 7,885.02 = 3,725.32 : x
  2. Step 2: Convert to fraction form
    5,715.46/7,885.02 = 3,725.32/x
  3. Step 3: Cross multiply
    5,715.46x = 7,885.02 × 3,725.32
  4. Step 4: Simplify right side
    5,715.46x = 29,374,222.71
  5. Step 5: Solve for x
    x = 29,374,222.71/5,715.46
  6. Step 6: Final answer
    x = 5,139.43

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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.