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Finding the Fourth Proportional to 3,514.68, 4,851 and 2,924.64

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Solution

The fourth proportional to 3,514.68, 4,851 and 2,924.64 is: 4,036.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.68 : 4,851 = 2,924.64 : x
  2. Step 2: Convert to fraction form
    3,514.68/4,851 = 2,924.64/x
  3. Step 3: Cross multiply
    3,514.68x = 4,851 × 2,924.64
  4. Step 4: Simplify right side
    3,514.68x = 14,187,428.64
  5. Step 5: Solve for x
    x = 14,187,428.64/3,514.68
  6. Step 6: Final answer
    x = 4,036.62

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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.