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Finding the Fourth Proportional to 4,384, 6,575.32 and 1,461.96

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Solution

The fourth proportional to 4,384, 6,575.32 and 1,461.96 is: 2,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384 : 6,575.32 = 1,461.96 : x
  2. Step 2: Convert to fraction form
    4,384/6,575.32 = 1,461.96/x
  3. Step 3: Cross multiply
    4,384x = 6,575.32 × 1,461.96
  4. Step 4: Simplify right side
    4,384x = 9,612,854.83
  5. Step 5: Solve for x
    x = 9,612,854.83/4,384
  6. Step 6: Final answer
    x = 2,192.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.