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Finding the Fourth Proportional to 4,354.41, 6,532.52 and 1,432.49

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Solution

The fourth proportional to 4,354.41, 6,532.52 and 1,432.49 is: 2,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.41 : 6,532.52 = 1,432.49 : x
  2. Step 2: Convert to fraction form
    4,354.41/6,532.52 = 1,432.49/x
  3. Step 3: Cross multiply
    4,354.41x = 6,532.52 × 1,432.49
  4. Step 4: Simplify right side
    4,354.41x = 9,357,741.84
  5. Step 5: Solve for x
    x = 9,357,741.84/4,354.41
  6. Step 6: Final answer
    x = 2,149.03

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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.