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Finding the Fourth Proportional to 3,423, 4,726.28 and 2,098.52

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Solution

The fourth proportional to 3,423, 4,726.28 and 2,098.52 is: 2,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423 : 4,726.28 = 2,098.52 : x
  2. Step 2: Convert to fraction form
    3,423/4,726.28 = 2,098.52/x
  3. Step 3: Cross multiply
    3,423x = 4,726.28 × 2,098.52
  4. Step 4: Simplify right side
    3,423x = 9,918,193.11
  5. Step 5: Solve for x
    x = 9,918,193.11/3,423
  6. Step 6: Final answer
    x = 2,897.51

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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.