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Finding the Fourth Proportional to 4,354.46, 6,530.95 and 1,432.78

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Solution

The fourth proportional to 4,354.46, 6,530.95 and 1,432.78 is: 2,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.46 : 6,530.95 = 1,432.78 : x
  2. Step 2: Convert to fraction form
    4,354.46/6,530.95 = 1,432.78/x
  3. Step 3: Cross multiply
    4,354.46x = 6,530.95 × 1,432.78
  4. Step 4: Simplify right side
    4,354.46x = 9,357,414.54
  5. Step 5: Solve for x
    x = 9,357,414.54/4,354.46
  6. Step 6: Final answer
    x = 2,148.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.