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Finding the Fourth Proportional to 4,248.71, 6,378.52 and 2,302.28

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Solution

The fourth proportional to 4,248.71, 6,378.52 and 2,302.28 is: 3,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,248.71 : 6,378.52 = 2,302.28 : x
  2. Step 2: Convert to fraction form
    4,248.71/6,378.52 = 2,302.28/x
  3. Step 3: Cross multiply
    4,248.71x = 6,378.52 × 2,302.28
  4. Step 4: Simplify right side
    4,248.71x = 14,685,139.03
  5. Step 5: Solve for x
    x = 14,685,139.03/4,248.71
  6. Step 6: Final answer
    x = 3,456.38

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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.