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Finding the Fourth Proportional to 3,353.46, 5,030.20 and 1,162.16

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Solution

The fourth proportional to 3,353.46, 5,030.20 and 1,162.16 is: 1,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.46 : 5,030.20 = 1,162.16 : x
  2. Step 2: Convert to fraction form
    3,353.46/5,030.20 = 1,162.16/x
  3. Step 3: Cross multiply
    3,353.46x = 5,030.20 × 1,162.16
  4. Step 4: Simplify right side
    3,353.46x = 5,845,897.23
  5. Step 5: Solve for x
    x = 5,845,897.23/3,353.46
  6. Step 6: Final answer
    x = 1,743.24

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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.