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Finding the Fourth Proportional to 5,262.96, 7,894.46 and 1,565.22

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Solution

The fourth proportional to 5,262.96, 7,894.46 and 1,565.22 is: 2,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.96 : 7,894.46 = 1,565.22 : x
  2. Step 2: Convert to fraction form
    5,262.96/7,894.46 = 1,565.22/x
  3. Step 3: Cross multiply
    5,262.96x = 7,894.46 × 1,565.22
  4. Step 4: Simplify right side
    5,262.96x = 12,356,566.68
  5. Step 5: Solve for x
    x = 12,356,566.68/5,262.96
  6. Step 6: Final answer
    x = 2,347.84

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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.