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Finding the Fourth Proportional to 4,314.07, 6,469.51 and 1,540

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Solution

The fourth proportional to 4,314.07, 6,469.51 and 1,540 is: 2,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.07 : 6,469.51 = 1,540 : x
  2. Step 2: Convert to fraction form
    4,314.07/6,469.51 = 1,540/x
  3. Step 3: Cross multiply
    4,314.07x = 6,469.51 × 1,540
  4. Step 4: Simplify right side
    4,314.07x = 9,963,045.40
  5. Step 5: Solve for x
    x = 9,963,045.40/4,314.07
  6. Step 6: Final answer
    x = 2,309.43

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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.