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Finding the Fourth Proportional to 3,626.47, 5,438.89 and 1,775.72

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Solution

The fourth proportional to 3,626.47, 5,438.89 and 1,775.72 is: 2,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.47 : 5,438.89 = 1,775.72 : x
  2. Step 2: Convert to fraction form
    3,626.47/5,438.89 = 1,775.72/x
  3. Step 3: Cross multiply
    3,626.47x = 5,438.89 × 1,775.72
  4. Step 4: Simplify right side
    3,626.47x = 9,657,945.75
  5. Step 5: Solve for x
    x = 9,657,945.75/3,626.47
  6. Step 6: Final answer
    x = 2,663.18

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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.