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Finding the Fourth Proportional to 6,034.79, 9,052.20 and 3,262.77

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Solution

The fourth proportional to 6,034.79, 9,052.20 and 3,262.77 is: 4,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.79 : 9,052.20 = 3,262.77 : x
  2. Step 2: Convert to fraction form
    6,034.79/9,052.20 = 3,262.77/x
  3. Step 3: Cross multiply
    6,034.79x = 9,052.20 × 3,262.77
  4. Step 4: Simplify right side
    6,034.79x = 29,535,246.59
  5. Step 5: Solve for x
    x = 29,535,246.59/6,034.79
  6. Step 6: Final answer
    x = 4,894.16

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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.