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Finding the Fourth Proportional to 4,487.32, 6,732.05 and 1,409.32

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Solution

The fourth proportional to 4,487.32, 6,732.05 and 1,409.32 is: 2,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.32 : 6,732.05 = 1,409.32 : x
  2. Step 2: Convert to fraction form
    4,487.32/6,732.05 = 1,409.32/x
  3. Step 3: Cross multiply
    4,487.32x = 6,732.05 × 1,409.32
  4. Step 4: Simplify right side
    4,487.32x = 9,487,605.66
  5. Step 5: Solve for x
    x = 9,487,605.66/4,487.32
  6. Step 6: Final answer
    x = 2,114.31

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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.