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Finding the Fourth Proportional to 4,843.04, 7,264 and 1,555.04

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Solution

The fourth proportional to 4,843.04, 7,264 and 1,555.04 is: 2,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.04 : 7,264 = 1,555.04 : x
  2. Step 2: Convert to fraction form
    4,843.04/7,264 = 1,555.04/x
  3. Step 3: Cross multiply
    4,843.04x = 7,264 × 1,555.04
  4. Step 4: Simplify right side
    4,843.04x = 11,295,810.56
  5. Step 5: Solve for x
    x = 11,295,810.56/4,843.04
  6. Step 6: Final answer
    x = 2,332.38

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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.