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Finding the Fourth Proportional to 6,117.20, 9,182.84 and 3,810

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Solution

The fourth proportional to 6,117.20, 9,182.84 and 3,810 is: 5,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.20 : 9,182.84 = 3,810 : x
  2. Step 2: Convert to fraction form
    6,117.20/9,182.84 = 3,810/x
  3. Step 3: Cross multiply
    6,117.20x = 9,182.84 × 3,810
  4. Step 4: Simplify right side
    6,117.20x = 34,986,620.40
  5. Step 5: Solve for x
    x = 34,986,620.40/6,117.20
  6. Step 6: Final answer
    x = 5,719.38

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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.