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Finding the Fourth Proportional to 3,502.29, 5,253.18 and 1,162.05

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Solution

The fourth proportional to 3,502.29, 5,253.18 and 1,162.05 is: 1,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.29 : 5,253.18 = 1,162.05 : x
  2. Step 2: Convert to fraction form
    3,502.29/5,253.18 = 1,162.05/x
  3. Step 3: Cross multiply
    3,502.29x = 5,253.18 × 1,162.05
  4. Step 4: Simplify right side
    3,502.29x = 6,104,457.82
  5. Step 5: Solve for x
    x = 6,104,457.82/3,502.29
  6. Step 6: Final answer
    x = 1,742.99

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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.