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Finding the Fourth Proportional to 4,927, 7,392.66 and 2,875

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Solution

The fourth proportional to 4,927, 7,392.66 and 2,875 is: 4,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927 : 7,392.66 = 2,875 : x
  2. Step 2: Convert to fraction form
    4,927/7,392.66 = 2,875/x
  3. Step 3: Cross multiply
    4,927x = 7,392.66 × 2,875
  4. Step 4: Simplify right side
    4,927x = 21,253,897.50
  5. Step 5: Solve for x
    x = 21,253,897.50/4,927
  6. Step 6: Final answer
    x = 4,313.76

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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.