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Finding the Fourth Proportional to 4,758.84, 7,129.72 and 2,810

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Solution

The fourth proportional to 4,758.84, 7,129.72 and 2,810 is: 4,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.84 : 7,129.72 = 2,810 : x
  2. Step 2: Convert to fraction form
    4,758.84/7,129.72 = 2,810/x
  3. Step 3: Cross multiply
    4,758.84x = 7,129.72 × 2,810
  4. Step 4: Simplify right side
    4,758.84x = 20,034,513.20
  5. Step 5: Solve for x
    x = 20,034,513.20/4,758.84
  6. Step 6: Final answer
    x = 4,209.96

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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.