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Finding the Fourth Proportional to 3,741.64, 5,612.97 and 1,275.80

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Solution

The fourth proportional to 3,741.64, 5,612.97 and 1,275.80 is: 1,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.64 : 5,612.97 = 1,275.80 : x
  2. Step 2: Convert to fraction form
    3,741.64/5,612.97 = 1,275.80/x
  3. Step 3: Cross multiply
    3,741.64x = 5,612.97 × 1,275.80
  4. Step 4: Simplify right side
    3,741.64x = 7,161,031.83
  5. Step 5: Solve for x
    x = 7,161,031.83/3,741.64
  6. Step 6: Final answer
    x = 1,913.87

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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.