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Finding the Fourth Proportional to 3,700.90, 5,549.47 and 1,234.85

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Solution

The fourth proportional to 3,700.90, 5,549.47 and 1,234.85 is: 1,851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.90 : 5,549.47 = 1,234.85 : x
  2. Step 2: Convert to fraction form
    3,700.90/5,549.47 = 1,234.85/x
  3. Step 3: Cross multiply
    3,700.90x = 5,549.47 × 1,234.85
  4. Step 4: Simplify right side
    3,700.90x = 6,852,763.03
  5. Step 5: Solve for x
    x = 6,852,763.03/3,700.90
  6. Step 6: Final answer
    x = 1,851.65

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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.