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Finding the Fourth Proportional to 4,708.71, 6,498 and 2,612.84

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Solution

The fourth proportional to 4,708.71, 6,498 and 2,612.84 is: 3,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.71 : 6,498 = 2,612.84 : x
  2. Step 2: Convert to fraction form
    4,708.71/6,498 = 2,612.84/x
  3. Step 3: Cross multiply
    4,708.71x = 6,498 × 2,612.84
  4. Step 4: Simplify right side
    4,708.71x = 16,978,201.83
  5. Step 5: Solve for x
    x = 16,978,201.83/4,708.71
  6. Step 6: Final answer
    x = 3,605.70

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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.