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Finding the Fourth Proportional to 5,262.86, 7,888 and 2,447.89

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Solution

The fourth proportional to 5,262.86, 7,888 and 2,447.89 is: 3,668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.86 : 7,888 = 2,447.89 : x
  2. Step 2: Convert to fraction form
    5,262.86/7,888 = 2,447.89/x
  3. Step 3: Cross multiply
    5,262.86x = 7,888 × 2,447.89
  4. Step 4: Simplify right side
    5,262.86x = 19,308,956.32
  5. Step 5: Solve for x
    x = 19,308,956.32/5,262.86
  6. Step 6: Final answer
    x = 3,668.91

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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.