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Finding the Fourth Proportional to 3,200.47, 4,798.72 and 1,250.38

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Solution

The fourth proportional to 3,200.47, 4,798.72 and 1,250.38 is: 1,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.47 : 4,798.72 = 1,250.38 : x
  2. Step 2: Convert to fraction form
    3,200.47/4,798.72 = 1,250.38/x
  3. Step 3: Cross multiply
    3,200.47x = 4,798.72 × 1,250.38
  4. Step 4: Simplify right side
    3,200.47x = 6,000,223.51
  5. Step 5: Solve for x
    x = 6,000,223.51/3,200.47
  6. Step 6: Final answer
    x = 1,874.79

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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.