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Finding the Fourth Proportional to 4,408.49, 6,612.05 and 1,287.66

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Solution

The fourth proportional to 4,408.49, 6,612.05 and 1,287.66 is: 1,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.49 : 6,612.05 = 1,287.66 : x
  2. Step 2: Convert to fraction form
    4,408.49/6,612.05 = 1,287.66/x
  3. Step 3: Cross multiply
    4,408.49x = 6,612.05 × 1,287.66
  4. Step 4: Simplify right side
    4,408.49x = 8,514,074.01
  5. Step 5: Solve for x
    x = 8,514,074.01/4,408.49
  6. Step 6: Final answer
    x = 1,931.29

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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.