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Finding the Fourth Proportional to 3,172.54, 4,758.84 and 864.04

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Solution

The fourth proportional to 3,172.54, 4,758.84 and 864.04 is: 1,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.54 : 4,758.84 = 864.04 : x
  2. Step 2: Convert to fraction form
    3,172.54/4,758.84 = 864.04/x
  3. Step 3: Cross multiply
    3,172.54x = 4,758.84 × 864.04
  4. Step 4: Simplify right side
    3,172.54x = 4,111,828.11
  5. Step 5: Solve for x
    x = 4,111,828.11/3,172.54
  6. Step 6: Final answer
    x = 1,296.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.