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Finding the Fourth Proportional to 3,502.28, 5,254.62 and 1,555.84

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Solution

The fourth proportional to 3,502.28, 5,254.62 and 1,555.84 is: 2,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.28 : 5,254.62 = 1,555.84 : x
  2. Step 2: Convert to fraction form
    3,502.28/5,254.62 = 1,555.84/x
  3. Step 3: Cross multiply
    3,502.28x = 5,254.62 × 1,555.84
  4. Step 4: Simplify right side
    3,502.28x = 8,175,347.98
  5. Step 5: Solve for x
    x = 8,175,347.98/3,502.28
  6. Step 6: Final answer
    x = 2,334.29

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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.