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Finding the Fourth Proportional to 3,767.16, 5,648.82 and 1,575.30

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Solution

The fourth proportional to 3,767.16, 5,648.82 and 1,575.30 is: 2,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.16 : 5,648.82 = 1,575.30 : x
  2. Step 2: Convert to fraction form
    3,767.16/5,648.82 = 1,575.30/x
  3. Step 3: Cross multiply
    3,767.16x = 5,648.82 × 1,575.30
  4. Step 4: Simplify right side
    3,767.16x = 8,898,586.15
  5. Step 5: Solve for x
    x = 8,898,586.15/3,767.16
  6. Step 6: Final answer
    x = 2,362.15

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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.