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Finding the Fourth Proportional to 4,016.76, 5,542.40 and 2,315

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Solution

The fourth proportional to 4,016.76, 5,542.40 and 2,315 is: 3,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016.76 : 5,542.40 = 2,315 : x
  2. Step 2: Convert to fraction form
    4,016.76/5,542.40 = 2,315/x
  3. Step 3: Cross multiply
    4,016.76x = 5,542.40 × 2,315
  4. Step 4: Simplify right side
    4,016.76x = 12,830,656
  5. Step 5: Solve for x
    x = 12,830,656/4,016.76
  6. Step 6: Final answer
    x = 3,194.28

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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.