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Finding the Fourth Proportional to 5,348.79, 8,024 and 1,651.65

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Solution

The fourth proportional to 5,348.79, 8,024 and 1,651.65 is: 2,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.79 : 8,024 = 1,651.65 : x
  2. Step 2: Convert to fraction form
    5,348.79/8,024 = 1,651.65/x
  3. Step 3: Cross multiply
    5,348.79x = 8,024 × 1,651.65
  4. Step 4: Simplify right side
    5,348.79x = 13,252,839.60
  5. Step 5: Solve for x
    x = 13,252,839.60/5,348.79
  6. Step 6: Final answer
    x = 2,477.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.