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Finding the Fourth Proportional to 5,356.68, 8,034.78 and 1,461.24

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Solution

The fourth proportional to 5,356.68, 8,034.78 and 1,461.24 is: 2,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.68 : 8,034.78 = 1,461.24 : x
  2. Step 2: Convert to fraction form
    5,356.68/8,034.78 = 1,461.24/x
  3. Step 3: Cross multiply
    5,356.68x = 8,034.78 × 1,461.24
  4. Step 4: Simplify right side
    5,356.68x = 11,740,741.93
  5. Step 5: Solve for x
    x = 11,740,741.93/5,356.68
  6. Step 6: Final answer
    x = 2,191.79

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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.