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Finding the Fourth Proportional to 4,290.54, 6,437.12 and 2,098.95

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Solution

The fourth proportional to 4,290.54, 6,437.12 and 2,098.95 is: 3,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.54 : 6,437.12 = 2,098.95 : x
  2. Step 2: Convert to fraction form
    4,290.54/6,437.12 = 2,098.95/x
  3. Step 3: Cross multiply
    4,290.54x = 6,437.12 × 2,098.95
  4. Step 4: Simplify right side
    4,290.54x = 13,511,182.53
  5. Step 5: Solve for x
    x = 13,511,182.53/4,290.54
  6. Step 6: Final answer
    x = 3,149.06

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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.