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Finding the Fourth Proportional to 3,847.47, 5,309.51 and 2,079.08

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Solution

The fourth proportional to 3,847.47, 5,309.51 and 2,079.08 is: 2,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.47 : 5,309.51 = 2,079.08 : x
  2. Step 2: Convert to fraction form
    3,847.47/5,309.51 = 2,079.08/x
  3. Step 3: Cross multiply
    3,847.47x = 5,309.51 × 2,079.08
  4. Step 4: Simplify right side
    3,847.47x = 11,038,859.11
  5. Step 5: Solve for x
    x = 11,038,859.11/3,847.47
  6. Step 6: Final answer
    x = 2,869.12

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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.