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Finding the Fourth Proportional to 6,366.98, 8,786.51 and 3,534.41

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Solution

The fourth proportional to 6,366.98, 8,786.51 and 3,534.41 is: 4,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.98 : 8,786.51 = 3,534.41 : x
  2. Step 2: Convert to fraction form
    6,366.98/8,786.51 = 3,534.41/x
  3. Step 3: Cross multiply
    6,366.98x = 8,786.51 × 3,534.41
  4. Step 4: Simplify right side
    6,366.98x = 31,055,159.61
  5. Step 5: Solve for x
    x = 31,055,159.61/6,366.98
  6. Step 6: Final answer
    x = 4,877.53

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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.