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Finding the Fourth Proportional to 5,654.55, 7,804.71 and 3,639.33

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Solution

The fourth proportional to 5,654.55, 7,804.71 and 3,639.33 is: 5,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.55 : 7,804.71 = 3,639.33 : x
  2. Step 2: Convert to fraction form
    5,654.55/7,804.71 = 3,639.33/x
  3. Step 3: Cross multiply
    5,654.55x = 7,804.71 × 3,639.33
  4. Step 4: Simplify right side
    5,654.55x = 28,403,915.24
  5. Step 5: Solve for x
    x = 28,403,915.24/5,654.55
  6. Step 6: Final answer
    x = 5,023.20

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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.