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Finding the Fourth Proportional to 4,102.96, 6,148.12 and 2,785

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Solution

The fourth proportional to 4,102.96, 6,148.12 and 2,785 is: 4,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.96 : 6,148.12 = 2,785 : x
  2. Step 2: Convert to fraction form
    4,102.96/6,148.12 = 2,785/x
  3. Step 3: Cross multiply
    4,102.96x = 6,148.12 × 2,785
  4. Step 4: Simplify right side
    4,102.96x = 17,122,514.20
  5. Step 5: Solve for x
    x = 17,122,514.20/4,102.96
  6. Step 6: Final answer
    x = 4,173.21

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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.