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Finding the Fourth Proportional to 3,739.68, 5,608.92 and 1,547.82

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Solution

The fourth proportional to 3,739.68, 5,608.92 and 1,547.82 is: 2,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.68 : 5,608.92 = 1,547.82 : x
  2. Step 2: Convert to fraction form
    3,739.68/5,608.92 = 1,547.82/x
  3. Step 3: Cross multiply
    3,739.68x = 5,608.92 × 1,547.82
  4. Step 4: Simplify right side
    3,739.68x = 8,681,598.55
  5. Step 5: Solve for x
    x = 8,681,598.55/3,739.68
  6. Step 6: Final answer
    x = 2,321.48

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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.