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Finding the Fourth Proportional to 3,670.90, 5,506.35 and 3,306.10

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Solution

The fourth proportional to 3,670.90, 5,506.35 and 3,306.10 is: 4,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.90 : 5,506.35 = 3,306.10 : x
  2. Step 2: Convert to fraction form
    3,670.90/5,506.35 = 3,306.10/x
  3. Step 3: Cross multiply
    3,670.90x = 5,506.35 × 3,306.10
  4. Step 4: Simplify right side
    3,670.90x = 18,204,543.74
  5. Step 5: Solve for x
    x = 18,204,543.74/3,670.90
  6. Step 6: Final answer
    x = 4,959.15

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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.