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Finding the Fourth Proportional to 4,660.38, 6,429.24 and 2,981.52

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Solution

The fourth proportional to 4,660.38, 6,429.24 and 2,981.52 is: 4,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.38 : 6,429.24 = 2,981.52 : x
  2. Step 2: Convert to fraction form
    4,660.38/6,429.24 = 2,981.52/x
  3. Step 3: Cross multiply
    4,660.38x = 6,429.24 × 2,981.52
  4. Step 4: Simplify right side
    4,660.38x = 19,168,907.64
  5. Step 5: Solve for x
    x = 19,168,907.64/4,660.38
  6. Step 6: Final answer
    x = 4,113.16

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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.