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Finding the Fourth Proportional to 4,688.28, 6,470.28 and 3,116.88

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Solution

The fourth proportional to 4,688.28, 6,470.28 and 3,116.88 is: 4,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.28 : 6,470.28 = 3,116.88 : x
  2. Step 2: Convert to fraction form
    4,688.28/6,470.28 = 3,116.88/x
  3. Step 3: Cross multiply
    4,688.28x = 6,470.28 × 3,116.88
  4. Step 4: Simplify right side
    4,688.28x = 20,167,086.33
  5. Step 5: Solve for x
    x = 20,167,086.33/4,688.28
  6. Step 6: Final answer
    x = 4,301.60

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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.