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Finding the Fourth Proportional to 3,502.59, 5,254.22 and 1,162.10

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Solution

The fourth proportional to 3,502.59, 5,254.22 and 1,162.10 is: 1,743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.59 : 5,254.22 = 1,162.10 : x
  2. Step 2: Convert to fraction form
    3,502.59/5,254.22 = 1,162.10/x
  3. Step 3: Cross multiply
    3,502.59x = 5,254.22 × 1,162.10
  4. Step 4: Simplify right side
    3,502.59x = 6,105,929.06
  5. Step 5: Solve for x
    x = 6,105,929.06/3,502.59
  6. Step 6: Final answer
    x = 1,743.26

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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.