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Finding the Fourth Proportional to 6,488.81, 8,954.01 and 3,617.36

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Solution

The fourth proportional to 6,488.81, 8,954.01 and 3,617.36 is: 4,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.81 : 8,954.01 = 3,617.36 : x
  2. Step 2: Convert to fraction form
    6,488.81/8,954.01 = 3,617.36/x
  3. Step 3: Cross multiply
    6,488.81x = 8,954.01 × 3,617.36
  4. Step 4: Simplify right side
    6,488.81x = 32,389,877.61
  5. Step 5: Solve for x
    x = 32,389,877.61/6,488.81
  6. Step 6: Final answer
    x = 4,991.65

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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.