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Finding the Fourth Proportional to 4,486.64, 6,731.04 and 1,565.24

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Solution

The fourth proportional to 4,486.64, 6,731.04 and 1,565.24 is: 2,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.64 : 6,731.04 = 1,565.24 : x
  2. Step 2: Convert to fraction form
    4,486.64/6,731.04 = 1,565.24/x
  3. Step 3: Cross multiply
    4,486.64x = 6,731.04 × 1,565.24
  4. Step 4: Simplify right side
    4,486.64x = 10,535,693.05
  5. Step 5: Solve for x
    x = 10,535,693.05/4,486.64
  6. Step 6: Final answer
    x = 2,348.24

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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.