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Finding the Fourth Proportional to 3,254.42, 4,875.22 and 2,155.46

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Solution

The fourth proportional to 3,254.42, 4,875.22 and 2,155.46 is: 3,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.42 : 4,875.22 = 2,155.46 : x
  2. Step 2: Convert to fraction form
    3,254.42/4,875.22 = 2,155.46/x
  3. Step 3: Cross multiply
    3,254.42x = 4,875.22 × 2,155.46
  4. Step 4: Simplify right side
    3,254.42x = 10,508,341.70
  5. Step 5: Solve for x
    x = 10,508,341.70/3,254.42
  6. Step 6: Final answer
    x = 3,228.94

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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.