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Finding the Fourth Proportional to 2,752.47, 4,102.20 and 2,729.52

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Solution

The fourth proportional to 2,752.47, 4,102.20 and 2,729.52 is: 4,068.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.47 : 4,102.20 = 2,729.52 : x
  2. Step 2: Convert to fraction form
    2,752.47/4,102.20 = 2,729.52/x
  3. Step 3: Cross multiply
    2,752.47x = 4,102.20 × 2,729.52
  4. Step 4: Simplify right side
    2,752.47x = 11,197,036.94
  5. Step 5: Solve for x
    x = 11,197,036.94/2,752.47
  6. Step 6: Final answer
    x = 4,068.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.