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Finding the Fourth Proportional to 3,502.65, 5,254.28 and 1,162.16

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Solution

The fourth proportional to 3,502.65, 5,254.28 and 1,162.16 is: 1,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.65 : 5,254.28 = 1,162.16 : x
  2. Step 2: Convert to fraction form
    3,502.65/5,254.28 = 1,162.16/x
  3. Step 3: Cross multiply
    3,502.65x = 5,254.28 × 1,162.16
  4. Step 4: Simplify right side
    3,502.65x = 6,106,314.04
  5. Step 5: Solve for x
    x = 6,106,314.04/3,502.65
  6. Step 6: Final answer
    x = 1,743.34

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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.