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Finding the Fourth Proportional to 3,806.28, 5,710.50 and 2,347.20

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Solution

The fourth proportional to 3,806.28, 5,710.50 and 2,347.20 is: 3,521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.28 : 5,710.50 = 2,347.20 : x
  2. Step 2: Convert to fraction form
    3,806.28/5,710.50 = 2,347.20/x
  3. Step 3: Cross multiply
    3,806.28x = 5,710.50 × 2,347.20
  4. Step 4: Simplify right side
    3,806.28x = 13,403,685.60
  5. Step 5: Solve for x
    x = 13,403,685.60/3,806.28
  6. Step 6: Final answer
    x = 3,521.47

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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.