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Finding the Fourth Proportional to 4,418.65, 6,097.80 and 2,429.39

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Solution

The fourth proportional to 4,418.65, 6,097.80 and 2,429.39 is: 3,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,418.65 : 6,097.80 = 2,429.39 : x
  2. Step 2: Convert to fraction form
    4,418.65/6,097.80 = 2,429.39/x
  3. Step 3: Cross multiply
    4,418.65x = 6,097.80 × 2,429.39
  4. Step 4: Simplify right side
    4,418.65x = 14,813,934.34
  5. Step 5: Solve for x
    x = 14,813,934.34/4,418.65
  6. Step 6: Final answer
    x = 3,352.59

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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.