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Finding the Fourth Proportional to 3,502.56, 5,254.80 and 1,193.76

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Solution

The fourth proportional to 3,502.56, 5,254.80 and 1,193.76 is: 1,790.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.56 : 5,254.80 = 1,193.76 : x
  2. Step 2: Convert to fraction form
    3,502.56/5,254.80 = 1,193.76/x
  3. Step 3: Cross multiply
    3,502.56x = 5,254.80 × 1,193.76
  4. Step 4: Simplify right side
    3,502.56x = 6,272,970.05
  5. Step 5: Solve for x
    x = 6,272,970.05/3,502.56
  6. Step 6: Final answer
    x = 1,790.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.