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Finding the Fourth Proportional to 5,006.46, 6,909.14 and 3,119.16

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Solution

The fourth proportional to 5,006.46, 6,909.14 and 3,119.16 is: 4,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.46 : 6,909.14 = 3,119.16 : x
  2. Step 2: Convert to fraction form
    5,006.46/6,909.14 = 3,119.16/x
  3. Step 3: Cross multiply
    5,006.46x = 6,909.14 × 3,119.16
  4. Step 4: Simplify right side
    5,006.46x = 21,550,697.53
  5. Step 5: Solve for x
    x = 21,550,697.53/5,006.46
  6. Step 6: Final answer
    x = 4,304.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.