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Finding the Fourth Proportional to 3,642.56, 5,029.10 and 2,801.70

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Solution

The fourth proportional to 3,642.56, 5,029.10 and 2,801.70 is: 3,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.56 : 5,029.10 = 2,801.70 : x
  2. Step 2: Convert to fraction form
    3,642.56/5,029.10 = 2,801.70/x
  3. Step 3: Cross multiply
    3,642.56x = 5,029.10 × 2,801.70
  4. Step 4: Simplify right side
    3,642.56x = 14,090,029.47
  5. Step 5: Solve for x
    x = 14,090,029.47/3,642.56
  6. Step 6: Final answer
    x = 3,868.17

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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.