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Finding the Fourth Proportional to 6,298.79, 8,691.71 and 3,466.11

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Solution

The fourth proportional to 6,298.79, 8,691.71 and 3,466.11 is: 4,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.79 : 8,691.71 = 3,466.11 : x
  2. Step 2: Convert to fraction form
    6,298.79/8,691.71 = 3,466.11/x
  3. Step 3: Cross multiply
    6,298.79x = 8,691.71 × 3,466.11
  4. Step 4: Simplify right side
    6,298.79x = 30,126,405.62
  5. Step 5: Solve for x
    x = 30,126,405.62/6,298.79
  6. Step 6: Final answer
    x = 4,782.89

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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.