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Finding the Fourth Proportional to 4,598, 6,338.76 and 3,275

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Solution

The fourth proportional to 4,598, 6,338.76 and 3,275 is: 4,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598 : 6,338.76 = 3,275 : x
  2. Step 2: Convert to fraction form
    4,598/6,338.76 = 3,275/x
  3. Step 3: Cross multiply
    4,598x = 6,338.76 × 3,275
  4. Step 4: Simplify right side
    4,598x = 20,759,439
  5. Step 5: Solve for x
    x = 20,759,439/4,598
  6. Step 6: Final answer
    x = 4,514.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.