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Finding the Fourth Proportional to 4,487.36, 6,734.11 and 1,565.66

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Solution

The fourth proportional to 4,487.36, 6,734.11 and 1,565.66 is: 2,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.36 : 6,734.11 = 1,565.66 : x
  2. Step 2: Convert to fraction form
    4,487.36/6,734.11 = 1,565.66/x
  3. Step 3: Cross multiply
    4,487.36x = 6,734.11 × 1,565.66
  4. Step 4: Simplify right side
    4,487.36x = 10,543,345.45
  5. Step 5: Solve for x
    x = 10,543,345.45/4,487.36
  6. Step 6: Final answer
    x = 2,349.57

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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.