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Finding the Fourth Proportional to 3,502.60, 5,253.55 and 1,162.51

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Solution

The fourth proportional to 3,502.60, 5,253.55 and 1,162.51 is: 1,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.60 : 5,253.55 = 1,162.51 : x
  2. Step 2: Convert to fraction form
    3,502.60/5,253.55 = 1,162.51/x
  3. Step 3: Cross multiply
    3,502.60x = 5,253.55 × 1,162.51
  4. Step 4: Simplify right side
    3,502.60x = 6,107,288.37
  5. Step 5: Solve for x
    x = 6,107,288.37/3,502.60
  6. Step 6: Final answer
    x = 1,743.65

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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.