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Finding the Fourth Proportional to 6,488.29, 8,954.67 and 4,252.06

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Solution

The fourth proportional to 6,488.29, 8,954.67 and 4,252.06 is: 5,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.29 : 8,954.67 = 4,252.06 : x
  2. Step 2: Convert to fraction form
    6,488.29/8,954.67 = 4,252.06/x
  3. Step 3: Cross multiply
    6,488.29x = 8,954.67 × 4,252.06
  4. Step 4: Simplify right side
    6,488.29x = 38,075,794.12
  5. Step 5: Solve for x
    x = 38,075,794.12/6,488.29
  6. Step 6: Final answer
    x = 5,868.39

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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.