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Finding the Fourth Proportional to 4,473.52, 6,174.68 and 2,980.90

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Solution

The fourth proportional to 4,473.52, 6,174.68 and 2,980.90 is: 4,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.52 : 6,174.68 = 2,980.90 : x
  2. Step 2: Convert to fraction form
    4,473.52/6,174.68 = 2,980.90/x
  3. Step 3: Cross multiply
    4,473.52x = 6,174.68 × 2,980.90
  4. Step 4: Simplify right side
    4,473.52x = 18,406,103.61
  5. Step 5: Solve for x
    x = 18,406,103.61/4,473.52
  6. Step 6: Final answer
    x = 4,114.46

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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.