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Finding the Fourth Proportional to 5,632.74, 7,775.90 and 3,747.46

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Solution

The fourth proportional to 5,632.74, 7,775.90 and 3,747.46 is: 5,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.74 : 7,775.90 = 3,747.46 : x
  2. Step 2: Convert to fraction form
    5,632.74/7,775.90 = 3,747.46/x
  3. Step 3: Cross multiply
    5,632.74x = 7,775.90 × 3,747.46
  4. Step 4: Simplify right side
    5,632.74x = 29,139,874.21
  5. Step 5: Solve for x
    x = 29,139,874.21/5,632.74
  6. Step 6: Final answer
    x = 5,173.30

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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.