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Finding the Fourth Proportional to 4,305.35, 6,456.21 and 1,532.72

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Solution

The fourth proportional to 4,305.35, 6,456.21 and 1,532.72 is: 2,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.35 : 6,456.21 = 1,532.72 : x
  2. Step 2: Convert to fraction form
    4,305.35/6,456.21 = 1,532.72/x
  3. Step 3: Cross multiply
    4,305.35x = 6,456.21 × 1,532.72
  4. Step 4: Simplify right side
    4,305.35x = 9,895,572.58
  5. Step 5: Solve for x
    x = 9,895,572.58/4,305.35
  6. Step 6: Final answer
    x = 2,298.43

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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.