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Finding the Fourth Proportional to 4,717.66, 6,510 and 2,726.86

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Solution

The fourth proportional to 4,717.66, 6,510 and 2,726.86 is: 3,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.66 : 6,510 = 2,726.86 : x
  2. Step 2: Convert to fraction form
    4,717.66/6,510 = 2,726.86/x
  3. Step 3: Cross multiply
    4,717.66x = 6,510 × 2,726.86
  4. Step 4: Simplify right side
    4,717.66x = 17,751,858.60
  5. Step 5: Solve for x
    x = 17,751,858.60/4,717.66
  6. Step 6: Final answer
    x = 3,762.85

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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.