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Finding the Fourth Proportional to 5,744.81, 8,616.11 and 2,047.02

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Solution

The fourth proportional to 5,744.81, 8,616.11 and 2,047.02 is: 3,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.81 : 8,616.11 = 2,047.02 : x
  2. Step 2: Convert to fraction form
    5,744.81/8,616.11 = 2,047.02/x
  3. Step 3: Cross multiply
    5,744.81x = 8,616.11 × 2,047.02
  4. Step 4: Simplify right side
    5,744.81x = 17,637,339.26
  5. Step 5: Solve for x
    x = 17,637,339.26/5,744.81
  6. Step 6: Final answer
    x = 3,070.14

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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.