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Finding the Fourth Proportional to 4,565.44, 6,842.16 and 2,486.32

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Solution

The fourth proportional to 4,565.44, 6,842.16 and 2,486.32 is: 3,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.44 : 6,842.16 = 2,486.32 : x
  2. Step 2: Convert to fraction form
    4,565.44/6,842.16 = 2,486.32/x
  3. Step 3: Cross multiply
    4,565.44x = 6,842.16 × 2,486.32
  4. Step 4: Simplify right side
    4,565.44x = 17,011,799.25
  5. Step 5: Solve for x
    x = 17,011,799.25/4,565.44
  6. Step 6: Final answer
    x = 3,726.21

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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.