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Finding the Fourth Proportional to 3,718.55, 5,581.47 and 2,832.82

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Solution

The fourth proportional to 3,718.55, 5,581.47 and 2,832.82 is: 4,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.55 : 5,581.47 = 2,832.82 : x
  2. Step 2: Convert to fraction form
    3,718.55/5,581.47 = 2,832.82/x
  3. Step 3: Cross multiply
    3,718.55x = 5,581.47 × 2,832.82
  4. Step 4: Simplify right side
    3,718.55x = 15,811,271.94
  5. Step 5: Solve for x
    x = 15,811,271.94/3,718.55
  6. Step 6: Final answer
    x = 4,252.00

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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.