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Finding the Fourth Proportional to 3,718.92, 5,570.55 and 1,769.16

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Solution

The fourth proportional to 3,718.92, 5,570.55 and 1,769.16 is: 2,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.92 : 5,570.55 = 1,769.16 : x
  2. Step 2: Convert to fraction form
    3,718.92/5,570.55 = 1,769.16/x
  3. Step 3: Cross multiply
    3,718.92x = 5,570.55 × 1,769.16
  4. Step 4: Simplify right side
    3,718.92x = 9,855,194.24
  5. Step 5: Solve for x
    x = 9,855,194.24/3,718.92
  6. Step 6: Final answer
    x = 2,650.02

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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.