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Finding the Fourth Proportional to 4,141.64, 6,212.88 and 1,543.98

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Solution

The fourth proportional to 4,141.64, 6,212.88 and 1,543.98 is: 2,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.64 : 6,212.88 = 1,543.98 : x
  2. Step 2: Convert to fraction form
    4,141.64/6,212.88 = 1,543.98/x
  3. Step 3: Cross multiply
    4,141.64x = 6,212.88 × 1,543.98
  4. Step 4: Simplify right side
    4,141.64x = 9,592,562.46
  5. Step 5: Solve for x
    x = 9,592,562.46/4,141.64
  6. Step 6: Final answer
    x = 2,316.13

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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.