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Finding the Fourth Proportional to 4,751.88, 7,125 and 1,464

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Solution

The fourth proportional to 4,751.88, 7,125 and 1,464 is: 2,195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.88 : 7,125 = 1,464 : x
  2. Step 2: Convert to fraction form
    4,751.88/7,125 = 1,464/x
  3. Step 3: Cross multiply
    4,751.88x = 7,125 × 1,464
  4. Step 4: Simplify right side
    4,751.88x = 10,431,000
  5. Step 5: Solve for x
    x = 10,431,000/4,751.88
  6. Step 6: Final answer
    x = 2,195.13

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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.