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Finding the Fourth Proportional to 4,265.30, 6,397.92 and 4,259.13

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Solution

The fourth proportional to 4,265.30, 6,397.92 and 4,259.13 is: 6,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265.30 : 6,397.92 = 4,259.13 : x
  2. Step 2: Convert to fraction form
    4,265.30/6,397.92 = 4,259.13/x
  3. Step 3: Cross multiply
    4,265.30x = 6,397.92 × 4,259.13
  4. Step 4: Simplify right side
    4,265.30x = 27,249,573.01
  5. Step 5: Solve for x
    x = 27,249,573.01/4,265.30
  6. Step 6: Final answer
    x = 6,388.67

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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.