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Finding the Fourth Proportional to 3,738.46, 5,609.30 and 1,547.68

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Solution

The fourth proportional to 3,738.46, 5,609.30 and 1,547.68 is: 2,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.46 : 5,609.30 = 1,547.68 : x
  2. Step 2: Convert to fraction form
    3,738.46/5,609.30 = 1,547.68/x
  3. Step 3: Cross multiply
    3,738.46x = 5,609.30 × 1,547.68
  4. Step 4: Simplify right side
    3,738.46x = 8,681,401.42
  5. Step 5: Solve for x
    x = 8,681,401.42/3,738.46
  6. Step 6: Final answer
    x = 2,322.19

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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.