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Finding the Fourth Proportional to 3,638.71, 5,458.92 and 1,041.67

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Solution

The fourth proportional to 3,638.71, 5,458.92 and 1,041.67 is: 1,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.71 : 5,458.92 = 1,041.67 : x
  2. Step 2: Convert to fraction form
    3,638.71/5,458.92 = 1,041.67/x
  3. Step 3: Cross multiply
    3,638.71x = 5,458.92 × 1,041.67
  4. Step 4: Simplify right side
    3,638.71x = 5,686,393.20
  5. Step 5: Solve for x
    x = 5,686,393.20/3,638.71
  6. Step 6: Final answer
    x = 1,562.75

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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.