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Finding the Fourth Proportional to 6,298.56, 8,691.06 and 3,645.45

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Solution

The fourth proportional to 6,298.56, 8,691.06 and 3,645.45 is: 5,030.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.56 : 8,691.06 = 3,645.45 : x
  2. Step 2: Convert to fraction form
    6,298.56/8,691.06 = 3,645.45/x
  3. Step 3: Cross multiply
    6,298.56x = 8,691.06 × 3,645.45
  4. Step 4: Simplify right side
    6,298.56x = 31,682,824.68
  5. Step 5: Solve for x
    x = 31,682,824.68/6,298.56
  6. Step 6: Final answer
    x = 5,030.17

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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.