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Finding the Fourth Proportional to 4,098.06, 6,145.82 and 1,324.22

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Solution

The fourth proportional to 4,098.06, 6,145.82 and 1,324.22 is: 1,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.06 : 6,145.82 = 1,324.22 : x
  2. Step 2: Convert to fraction form
    4,098.06/6,145.82 = 1,324.22/x
  3. Step 3: Cross multiply
    4,098.06x = 6,145.82 × 1,324.22
  4. Step 4: Simplify right side
    4,098.06x = 8,138,417.76
  5. Step 5: Solve for x
    x = 8,138,417.76/4,098.06
  6. Step 6: Final answer
    x = 1,985.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.