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Finding the Fourth Proportional to 4,140.04, 6,211.14 and 1,543

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Solution

The fourth proportional to 4,140.04, 6,211.14 and 1,543 is: 2,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.04 : 6,211.14 = 1,543 : x
  2. Step 2: Convert to fraction form
    4,140.04/6,211.14 = 1,543/x
  3. Step 3: Cross multiply
    4,140.04x = 6,211.14 × 1,543
  4. Step 4: Simplify right side
    4,140.04x = 9,583,789.02
  5. Step 5: Solve for x
    x = 9,583,789.02/4,140.04
  6. Step 6: Final answer
    x = 2,314.90

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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.