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Finding the Fourth Proportional to 5,683.62, 7,840.08 and 3,915.12

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Solution

The fourth proportional to 5,683.62, 7,840.08 and 3,915.12 is: 5,400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.62 : 7,840.08 = 3,915.12 : x
  2. Step 2: Convert to fraction form
    5,683.62/7,840.08 = 3,915.12/x
  3. Step 3: Cross multiply
    5,683.62x = 7,840.08 × 3,915.12
  4. Step 4: Simplify right side
    5,683.62x = 30,694,854.01
  5. Step 5: Solve for x
    x = 30,694,854.01/5,683.62
  6. Step 6: Final answer
    x = 5,400.58

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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.