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Finding the Fourth Proportional to 3,502.84, 5,254.60 and 1,162.35

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Solution

The fourth proportional to 3,502.84, 5,254.60 and 1,162.35 is: 1,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.84 : 5,254.60 = 1,162.35 : x
  2. Step 2: Convert to fraction form
    3,502.84/5,254.60 = 1,162.35/x
  3. Step 3: Cross multiply
    3,502.84x = 5,254.60 × 1,162.35
  4. Step 4: Simplify right side
    3,502.84x = 6,107,684.31
  5. Step 5: Solve for x
    x = 6,107,684.31/3,502.84
  6. Step 6: Final answer
    x = 1,743.64

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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.