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Finding the Fourth Proportional to 3,700.34, 5,551.80 and 2,314.70

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Solution

The fourth proportional to 3,700.34, 5,551.80 and 2,314.70 is: 3,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.34 : 5,551.80 = 2,314.70 : x
  2. Step 2: Convert to fraction form
    3,700.34/5,551.80 = 2,314.70/x
  3. Step 3: Cross multiply
    3,700.34x = 5,551.80 × 2,314.70
  4. Step 4: Simplify right side
    3,700.34x = 12,850,751.46
  5. Step 5: Solve for x
    x = 12,850,751.46/3,700.34
  6. Step 6: Final answer
    x = 3,472.86

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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.