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Finding the Fourth Proportional to 6,370, 8,790.84 and 3,575.92

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Solution

The fourth proportional to 6,370, 8,790.84 and 3,575.92 is: 4,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370 : 8,790.84 = 3,575.92 : x
  2. Step 2: Convert to fraction form
    6,370/8,790.84 = 3,575.92/x
  3. Step 3: Cross multiply
    6,370x = 8,790.84 × 3,575.92
  4. Step 4: Simplify right side
    6,370x = 31,435,340.57
  5. Step 5: Solve for x
    x = 31,435,340.57/6,370
  6. Step 6: Final answer
    x = 4,934.90

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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.