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Finding the Fourth Proportional to 4,135.74, 5,708.22 and 2,543.75

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Solution

The fourth proportional to 4,135.74, 5,708.22 and 2,543.75 is: 3,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.74 : 5,708.22 = 2,543.75 : x
  2. Step 2: Convert to fraction form
    4,135.74/5,708.22 = 2,543.75/x
  3. Step 3: Cross multiply
    4,135.74x = 5,708.22 × 2,543.75
  4. Step 4: Simplify right side
    4,135.74x = 14,520,289.36
  5. Step 5: Solve for x
    x = 14,520,289.36/4,135.74
  6. Step 6: Final answer
    x = 3,510.93

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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.