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Finding the Fourth Proportional to 5,405.42, 8,108.14 and 1,301.42

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Solution

The fourth proportional to 5,405.42, 8,108.14 and 1,301.42 is: 1,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.42 : 8,108.14 = 1,301.42 : x
  2. Step 2: Convert to fraction form
    5,405.42/8,108.14 = 1,301.42/x
  3. Step 3: Cross multiply
    5,405.42x = 8,108.14 × 1,301.42
  4. Step 4: Simplify right side
    5,405.42x = 10,552,095.56
  5. Step 5: Solve for x
    x = 10,552,095.56/5,405.42
  6. Step 6: Final answer
    x = 1,952.13

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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.