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Finding the Fourth Proportional to 3,700.47, 5,548.86 and 1,234.43

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Solution

The fourth proportional to 3,700.47, 5,548.86 and 1,234.43 is: 1,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.47 : 5,548.86 = 1,234.43 : x
  2. Step 2: Convert to fraction form
    3,700.47/5,548.86 = 1,234.43/x
  3. Step 3: Cross multiply
    3,700.47x = 5,548.86 × 1,234.43
  4. Step 4: Simplify right side
    3,700.47x = 6,849,651.51
  5. Step 5: Solve for x
    x = 6,849,651.51/3,700.47
  6. Step 6: Final answer
    x = 1,851.02

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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.