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Finding the Fourth Proportional to 6,140.14, 8,474.96 and 3,488.40

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Solution

The fourth proportional to 6,140.14, 8,474.96 and 3,488.40 is: 4,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.14 : 8,474.96 = 3,488.40 : x
  2. Step 2: Convert to fraction form
    6,140.14/8,474.96 = 3,488.40/x
  3. Step 3: Cross multiply
    6,140.14x = 8,474.96 × 3,488.40
  4. Step 4: Simplify right side
    6,140.14x = 29,564,059.19
  5. Step 5: Solve for x
    x = 29,564,059.19/6,140.14
  6. Step 6: Final answer
    x = 4,814.89

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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.