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Finding the Fourth Proportional to 4,768.93, 6,581.10 and 3,002.86

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Solution

The fourth proportional to 4,768.93, 6,581.10 and 3,002.86 is: 4,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.93 : 6,581.10 = 3,002.86 : x
  2. Step 2: Convert to fraction form
    4,768.93/6,581.10 = 3,002.86/x
  3. Step 3: Cross multiply
    4,768.93x = 6,581.10 × 3,002.86
  4. Step 4: Simplify right side
    4,768.93x = 19,762,121.95
  5. Step 5: Solve for x
    x = 19,762,121.95/4,768.93
  6. Step 6: Final answer
    x = 4,143.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.