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Finding the Fourth Proportional to 3,503.12, 5,246.06 and 2,266.74

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Solution

The fourth proportional to 3,503.12, 5,246.06 and 2,266.74 is: 3,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.12 : 5,246.06 = 2,266.74 : x
  2. Step 2: Convert to fraction form
    3,503.12/5,246.06 = 2,266.74/x
  3. Step 3: Cross multiply
    3,503.12x = 5,246.06 × 2,266.74
  4. Step 4: Simplify right side
    3,503.12x = 11,891,442.71
  5. Step 5: Solve for x
    x = 11,891,442.71/3,503.12
  6. Step 6: Final answer
    x = 3,394.53

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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.