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Finding the Fourth Proportional to 4,140.68, 6,211.10 and 1,543.10

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Solution

The fourth proportional to 4,140.68, 6,211.10 and 1,543.10 is: 2,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.68 : 6,211.10 = 1,543.10 : x
  2. Step 2: Convert to fraction form
    4,140.68/6,211.10 = 1,543.10/x
  3. Step 3: Cross multiply
    4,140.68x = 6,211.10 × 1,543.10
  4. Step 4: Simplify right side
    4,140.68x = 9,584,348.41
  5. Step 5: Solve for x
    x = 9,584,348.41/4,140.68
  6. Step 6: Final answer
    x = 2,314.68

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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.