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Finding the Fourth Proportional to 3,727.53, 5,586.06 and 2,944.08

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Solution

The fourth proportional to 3,727.53, 5,586.06 and 2,944.08 is: 4,411.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.53 : 5,586.06 = 2,944.08 : x
  2. Step 2: Convert to fraction form
    3,727.53/5,586.06 = 2,944.08/x
  3. Step 3: Cross multiply
    3,727.53x = 5,586.06 × 2,944.08
  4. Step 4: Simplify right side
    3,727.53x = 16,445,807.52
  5. Step 5: Solve for x
    x = 16,445,807.52/3,727.53
  6. Step 6: Final answer
    x = 4,411.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.