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Finding the Fourth Proportional to 3,106.28, 4,656.29 and 1,543.88

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Solution

The fourth proportional to 3,106.28, 4,656.29 and 1,543.88 is: 2,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.28 : 4,656.29 = 1,543.88 : x
  2. Step 2: Convert to fraction form
    3,106.28/4,656.29 = 1,543.88/x
  3. Step 3: Cross multiply
    3,106.28x = 4,656.29 × 1,543.88
  4. Step 4: Simplify right side
    3,106.28x = 7,188,722.00
  5. Step 5: Solve for x
    x = 7,188,722.00/3,106.28
  6. Step 6: Final answer
    x = 2,314.26

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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.