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Finding the Fourth Proportional to 5,335.65, 7,998 and 2,047.86

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Solution

The fourth proportional to 5,335.65, 7,998 and 2,047.86 is: 3,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.65 : 7,998 = 2,047.86 : x
  2. Step 2: Convert to fraction form
    5,335.65/7,998 = 2,047.86/x
  3. Step 3: Cross multiply
    5,335.65x = 7,998 × 2,047.86
  4. Step 4: Simplify right side
    5,335.65x = 16,378,744.29
  5. Step 5: Solve for x
    x = 16,378,744.29/5,335.65
  6. Step 6: Final answer
    x = 3,069.68

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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.