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Finding the Fourth Proportional to 3,538.54, 4,877.58 and 3,252.70

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Solution

The fourth proportional to 3,538.54, 4,877.58 and 3,252.70 is: 4,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.54 : 4,877.58 = 3,252.70 : x
  2. Step 2: Convert to fraction form
    3,538.54/4,877.58 = 3,252.70/x
  3. Step 3: Cross multiply
    3,538.54x = 4,877.58 × 3,252.70
  4. Step 4: Simplify right side
    3,538.54x = 15,865,304.47
  5. Step 5: Solve for x
    x = 15,865,304.47/3,538.54
  6. Step 6: Final answer
    x = 4,483.57

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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.