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Finding the Fourth Proportional to 6,298.20, 8,691.94 and 3,646.20

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Solution

The fourth proportional to 6,298.20, 8,691.94 and 3,646.20 is: 5,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.20 : 8,691.94 = 3,646.20 : x
  2. Step 2: Convert to fraction form
    6,298.20/8,691.94 = 3,646.20/x
  3. Step 3: Cross multiply
    6,298.20x = 8,691.94 × 3,646.20
  4. Step 4: Simplify right side
    6,298.20x = 31,692,551.63
  5. Step 5: Solve for x
    x = 31,692,551.63/6,298.20
  6. Step 6: Final answer
    x = 5,032.00

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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.