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Finding the Fourth Proportional to 3,374.64, 5,061.93 and 1,066.14

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Solution

The fourth proportional to 3,374.64, 5,061.93 and 1,066.14 is: 1,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.64 : 5,061.93 = 1,066.14 : x
  2. Step 2: Convert to fraction form
    3,374.64/5,061.93 = 1,066.14/x
  3. Step 3: Cross multiply
    3,374.64x = 5,061.93 × 1,066.14
  4. Step 4: Simplify right side
    3,374.64x = 5,396,726.05
  5. Step 5: Solve for x
    x = 5,396,726.05/3,374.64
  6. Step 6: Final answer
    x = 1,599.20

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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.