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Finding the Fourth Proportional to 4,364.68, 6,543.42 and 4,120.18

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Solution

The fourth proportional to 4,364.68, 6,543.42 and 4,120.18 is: 6,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.68 : 6,543.42 = 4,120.18 : x
  2. Step 2: Convert to fraction form
    4,364.68/6,543.42 = 4,120.18/x
  3. Step 3: Cross multiply
    4,364.68x = 6,543.42 × 4,120.18
  4. Step 4: Simplify right side
    4,364.68x = 26,960,068.22
  5. Step 5: Solve for x
    x = 26,960,068.22/4,364.68
  6. Step 6: Final answer
    x = 6,176.87

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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.