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Finding the Fourth Proportional to 4,708.63, 6,494.13 and 4,002.80

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Solution

The fourth proportional to 4,708.63, 6,494.13 and 4,002.80 is: 5,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.63 : 6,494.13 = 4,002.80 : x
  2. Step 2: Convert to fraction form
    4,708.63/6,494.13 = 4,002.80/x
  3. Step 3: Cross multiply
    4,708.63x = 6,494.13 × 4,002.80
  4. Step 4: Simplify right side
    4,708.63x = 25,994,719.80
  5. Step 5: Solve for x
    x = 25,994,719.80/4,708.63
  6. Step 6: Final answer
    x = 5,520.66

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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.