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Finding the Fourth Proportional to 3,512.46, 5,264.37 and 1,562.46

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Solution

The fourth proportional to 3,512.46, 5,264.37 and 1,562.46 is: 2,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.46 : 5,264.37 = 1,562.46 : x
  2. Step 2: Convert to fraction form
    3,512.46/5,264.37 = 1,562.46/x
  3. Step 3: Cross multiply
    3,512.46x = 5,264.37 × 1,562.46
  4. Step 4: Simplify right side
    3,512.46x = 8,225,367.55
  5. Step 5: Solve for x
    x = 8,225,367.55/3,512.46
  6. Step 6: Final answer
    x = 2,341.77

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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.