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Finding the Fourth Proportional to 4,155.52, 6,202.88 and 3,663.46

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Solution

The fourth proportional to 4,155.52, 6,202.88 and 3,663.46 is: 5,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.52 : 6,202.88 = 3,663.46 : x
  2. Step 2: Convert to fraction form
    4,155.52/6,202.88 = 3,663.46/x
  3. Step 3: Cross multiply
    4,155.52x = 6,202.88 × 3,663.46
  4. Step 4: Simplify right side
    4,155.52x = 22,724,002.76
  5. Step 5: Solve for x
    x = 22,724,002.76/4,155.52
  6. Step 6: Final answer
    x = 5,468.39

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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.