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Finding the Fourth Proportional to 6,298.43, 8,691.49 and 3,465.34

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Solution

The fourth proportional to 6,298.43, 8,691.49 and 3,465.34 is: 4,781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.43 : 8,691.49 = 3,465.34 : x
  2. Step 2: Convert to fraction form
    6,298.43/8,691.49 = 3,465.34/x
  3. Step 3: Cross multiply
    6,298.43x = 8,691.49 × 3,465.34
  4. Step 4: Simplify right side
    6,298.43x = 30,118,967.96
  5. Step 5: Solve for x
    x = 30,118,967.96/6,298.43
  6. Step 6: Final answer
    x = 4,781.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.