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Finding the Fourth Proportional to 4,308.16, 6,470.16 and 2,668

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Solution

The fourth proportional to 4,308.16, 6,470.16 and 2,668 is: 4,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.16 : 6,470.16 = 2,668 : x
  2. Step 2: Convert to fraction form
    4,308.16/6,470.16 = 2,668/x
  3. Step 3: Cross multiply
    4,308.16x = 6,470.16 × 2,668
  4. Step 4: Simplify right side
    4,308.16x = 17,262,386.88
  5. Step 5: Solve for x
    x = 17,262,386.88/4,308.16
  6. Step 6: Final answer
    x = 4,006.90

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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.