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Finding the Fourth Proportional to 5,438.40, 7,494.24 and 3,862.08

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Solution

The fourth proportional to 5,438.40, 7,494.24 and 3,862.08 is: 5,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.40 : 7,494.24 = 3,862.08 : x
  2. Step 2: Convert to fraction form
    5,438.40/7,494.24 = 3,862.08/x
  3. Step 3: Cross multiply
    5,438.40x = 7,494.24 × 3,862.08
  4. Step 4: Simplify right side
    5,438.40x = 28,943,354.42
  5. Step 5: Solve for x
    x = 28,943,354.42/5,438.40
  6. Step 6: Final answer
    x = 5,322.03

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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.