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Finding the Fourth Proportional to 4,222.76, 5,826.42 and 2,543.72

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Solution

The fourth proportional to 4,222.76, 5,826.42 and 2,543.72 is: 3,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.76 : 5,826.42 = 2,543.72 : x
  2. Step 2: Convert to fraction form
    4,222.76/5,826.42 = 2,543.72/x
  3. Step 3: Cross multiply
    4,222.76x = 5,826.42 × 2,543.72
  4. Step 4: Simplify right side
    4,222.76x = 14,820,781.08
  5. Step 5: Solve for x
    x = 14,820,781.08/4,222.76
  6. Step 6: Final answer
    x = 3,509.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.