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Finding the Fourth Proportional to 4,862.82, 6,707.16 and 3,370.80

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Solution

The fourth proportional to 4,862.82, 6,707.16 and 3,370.80 is: 4,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.82 : 6,707.16 = 3,370.80 : x
  2. Step 2: Convert to fraction form
    4,862.82/6,707.16 = 3,370.80/x
  3. Step 3: Cross multiply
    4,862.82x = 6,707.16 × 3,370.80
  4. Step 4: Simplify right side
    4,862.82x = 22,608,494.93
  5. Step 5: Solve for x
    x = 22,608,494.93/4,862.82
  6. Step 6: Final answer
    x = 4,649.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.