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Finding the Fourth Proportional to 4,308.48, 6,462.72 and 3,438.72

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Solution

The fourth proportional to 4,308.48, 6,462.72 and 3,438.72 is: 5,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.48 : 6,462.72 = 3,438.72 : x
  2. Step 2: Convert to fraction form
    4,308.48/6,462.72 = 3,438.72/x
  3. Step 3: Cross multiply
    4,308.48x = 6,462.72 × 3,438.72
  4. Step 4: Simplify right side
    4,308.48x = 22,223,484.52
  5. Step 5: Solve for x
    x = 22,223,484.52/4,308.48
  6. Step 6: Final answer
    x = 5,158.08

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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.