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Finding the Fourth Proportional to 3,823.16, 5,723.70 and 2,649.40

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Solution

The fourth proportional to 3,823.16, 5,723.70 and 2,649.40 is: 3,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.16 : 5,723.70 = 2,649.40 : x
  2. Step 2: Convert to fraction form
    3,823.16/5,723.70 = 2,649.40/x
  3. Step 3: Cross multiply
    3,823.16x = 5,723.70 × 2,649.40
  4. Step 4: Simplify right side
    3,823.16x = 15,164,370.78
  5. Step 5: Solve for x
    x = 15,164,370.78/3,823.16
  6. Step 6: Final answer
    x = 3,966.45

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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.