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Finding the Fourth Proportional to 4,464, 6,160.60 and 2,575.92

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Solution

The fourth proportional to 4,464, 6,160.60 and 2,575.92 is: 3,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464 : 6,160.60 = 2,575.92 : x
  2. Step 2: Convert to fraction form
    4,464/6,160.60 = 2,575.92/x
  3. Step 3: Cross multiply
    4,464x = 6,160.60 × 2,575.92
  4. Step 4: Simplify right side
    4,464x = 15,869,212.75
  5. Step 5: Solve for x
    x = 15,869,212.75/4,464
  6. Step 6: Final answer
    x = 3,554.93

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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.