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Finding the Fourth Proportional to 3,498.46, 4,830.18 and 2,174.14

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Solution

The fourth proportional to 3,498.46, 4,830.18 and 2,174.14 is: 3,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.46 : 4,830.18 = 2,174.14 : x
  2. Step 2: Convert to fraction form
    3,498.46/4,830.18 = 2,174.14/x
  3. Step 3: Cross multiply
    3,498.46x = 4,830.18 × 2,174.14
  4. Step 4: Simplify right side
    3,498.46x = 10,501,487.55
  5. Step 5: Solve for x
    x = 10,501,487.55/3,498.46
  6. Step 6: Final answer
    x = 3,001.75

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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.