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Finding the Fourth Proportional to 3,398.85, 5,098.74 and 1,207.05

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Solution

The fourth proportional to 3,398.85, 5,098.74 and 1,207.05 is: 1,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.85 : 5,098.74 = 1,207.05 : x
  2. Step 2: Convert to fraction form
    3,398.85/5,098.74 = 1,207.05/x
  3. Step 3: Cross multiply
    3,398.85x = 5,098.74 × 1,207.05
  4. Step 4: Simplify right side
    3,398.85x = 6,154,434.12
  5. Step 5: Solve for x
    x = 6,154,434.12/3,398.85
  6. Step 6: Final answer
    x = 1,810.74

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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.