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Finding the Fourth Proportional to 5,356.54, 8,034.40 and 1,658.80

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Solution

The fourth proportional to 5,356.54, 8,034.40 and 1,658.80 is: 2,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.54 : 8,034.40 = 1,658.80 : x
  2. Step 2: Convert to fraction form
    5,356.54/8,034.40 = 1,658.80/x
  3. Step 3: Cross multiply
    5,356.54x = 8,034.40 × 1,658.80
  4. Step 4: Simplify right side
    5,356.54x = 13,327,462.72
  5. Step 5: Solve for x
    x = 13,327,462.72/5,356.54
  6. Step 6: Final answer
    x = 2,488.07

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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.