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Finding the Fourth Proportional to 3,699.65, 5,098.92 and 2,801.24

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Solution

The fourth proportional to 3,699.65, 5,098.92 and 2,801.24 is: 3,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.65 : 5,098.92 = 2,801.24 : x
  2. Step 2: Convert to fraction form
    3,699.65/5,098.92 = 2,801.24/x
  3. Step 3: Cross multiply
    3,699.65x = 5,098.92 × 2,801.24
  4. Step 4: Simplify right side
    3,699.65x = 14,283,307.94
  5. Step 5: Solve for x
    x = 14,283,307.94/3,699.65
  6. Step 6: Final answer
    x = 3,860.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.