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Finding the Fourth Proportional to 4,838.67, 6,678.24 and 2,849.10

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Solution

The fourth proportional to 4,838.67, 6,678.24 and 2,849.10 is: 3,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.67 : 6,678.24 = 2,849.10 : x
  2. Step 2: Convert to fraction form
    4,838.67/6,678.24 = 2,849.10/x
  3. Step 3: Cross multiply
    4,838.67x = 6,678.24 × 2,849.10
  4. Step 4: Simplify right side
    4,838.67x = 19,026,973.58
  5. Step 5: Solve for x
    x = 19,026,973.58/4,838.67
  6. Step 6: Final answer
    x = 3,932.27

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1.5x scale

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.