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Finding the Fourth Proportional to 4,309.02, 6,468.39 and 1,713.78

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Solution

The fourth proportional to 4,309.02, 6,468.39 and 1,713.78 is: 2,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.02 : 6,468.39 = 1,713.78 : x
  2. Step 2: Convert to fraction form
    4,309.02/6,468.39 = 1,713.78/x
  3. Step 3: Cross multiply
    4,309.02x = 6,468.39 × 1,713.78
  4. Step 4: Simplify right side
    4,309.02x = 11,085,397.41
  5. Step 5: Solve for x
    x = 11,085,397.41/4,309.02
  6. Step 6: Final answer
    x = 2,572.60

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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.