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Finding the Fourth Proportional to 3,406.47, 4,700.93 and 1,991.13

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Solution

The fourth proportional to 3,406.47, 4,700.93 and 1,991.13 is: 2,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.47 : 4,700.93 = 1,991.13 : x
  2. Step 2: Convert to fraction form
    3,406.47/4,700.93 = 1,991.13/x
  3. Step 3: Cross multiply
    3,406.47x = 4,700.93 × 1,991.13
  4. Step 4: Simplify right side
    3,406.47x = 9,360,152.80
  5. Step 5: Solve for x
    x = 9,360,152.80/3,406.47
  6. Step 6: Final answer
    x = 2,747.76

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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.