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Finding the Fourth Proportional to 6,049, 8,348.58 and 3,564.52

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Solution

The fourth proportional to 6,049, 8,348.58 and 3,564.52 is: 4,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049 : 8,348.58 = 3,564.52 : x
  2. Step 2: Convert to fraction form
    6,049/8,348.58 = 3,564.52/x
  3. Step 3: Cross multiply
    6,049x = 8,348.58 × 3,564.52
  4. Step 4: Simplify right side
    6,049x = 29,758,680.38
  5. Step 5: Solve for x
    x = 29,758,680.38/6,049
  6. Step 6: Final answer
    x = 4,919.60

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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.