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Finding the Fourth Proportional to 6,559.78, 9,052.51 and 3,575.61

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Solution

The fourth proportional to 6,559.78, 9,052.51 and 3,575.61 is: 4,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.78 : 9,052.51 = 3,575.61 : x
  2. Step 2: Convert to fraction form
    6,559.78/9,052.51 = 3,575.61/x
  3. Step 3: Cross multiply
    6,559.78x = 9,052.51 × 3,575.61
  4. Step 4: Simplify right side
    6,559.78x = 32,368,245.28
  5. Step 5: Solve for x
    x = 32,368,245.28/6,559.78
  6. Step 6: Final answer
    x = 4,934.35

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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.