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Finding the Fourth Proportional to 4,194.48, 5,782.14 and 2,702.10

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Solution

The fourth proportional to 4,194.48, 5,782.14 and 2,702.10 is: 3,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.48 : 5,782.14 = 2,702.10 : x
  2. Step 2: Convert to fraction form
    4,194.48/5,782.14 = 2,702.10/x
  3. Step 3: Cross multiply
    4,194.48x = 5,782.14 × 2,702.10
  4. Step 4: Simplify right side
    4,194.48x = 15,623,920.49
  5. Step 5: Solve for x
    x = 15,623,920.49/4,194.48
  6. Step 6: Final answer
    x = 3,724.88

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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.