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Finding the Fourth Proportional to 3,738.90, 5,610.69 and 1,547.22

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Solution

The fourth proportional to 3,738.90, 5,610.69 and 1,547.22 is: 2,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.90 : 5,610.69 = 1,547.22 : x
  2. Step 2: Convert to fraction form
    3,738.90/5,610.69 = 1,547.22/x
  3. Step 3: Cross multiply
    3,738.90x = 5,610.69 × 1,547.22
  4. Step 4: Simplify right side
    3,738.90x = 8,680,971.78
  5. Step 5: Solve for x
    x = 8,680,971.78/3,738.90
  6. Step 6: Final answer
    x = 2,321.80

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