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Finding the Fourth Proportional to 6,298.40, 8,691.78 and 3,503.90

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Solution

The fourth proportional to 6,298.40, 8,691.78 and 3,503.90 is: 4,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.40 : 8,691.78 = 3,503.90 : x
  2. Step 2: Convert to fraction form
    6,298.40/8,691.78 = 3,503.90/x
  3. Step 3: Cross multiply
    6,298.40x = 8,691.78 × 3,503.90
  4. Step 4: Simplify right side
    6,298.40x = 30,455,127.94
  5. Step 5: Solve for x
    x = 30,455,127.94/6,298.40
  6. Step 6: Final answer
    x = 4,835.38

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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.