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Finding the Fourth Proportional to 4,650, 6,976.08 and 3,349.14

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Solution

The fourth proportional to 4,650, 6,976.08 and 3,349.14 is: 5,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650 : 6,976.08 = 3,349.14 : x
  2. Step 2: Convert to fraction form
    4,650/6,976.08 = 3,349.14/x
  3. Step 3: Cross multiply
    4,650x = 6,976.08 × 3,349.14
  4. Step 4: Simplify right side
    4,650x = 23,363,868.57
  5. Step 5: Solve for x
    x = 23,363,868.57/4,650
  6. Step 6: Final answer
    x = 5,024.49

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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.