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Finding the Fourth Proportional to 4,927.29, 7,392.05 and 1,640.52

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Solution

The fourth proportional to 4,927.29, 7,392.05 and 1,640.52 is: 2,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.29 : 7,392.05 = 1,640.52 : x
  2. Step 2: Convert to fraction form
    4,927.29/7,392.05 = 1,640.52/x
  3. Step 3: Cross multiply
    4,927.29x = 7,392.05 × 1,640.52
  4. Step 4: Simplify right side
    4,927.29x = 12,126,805.87
  5. Step 5: Solve for x
    x = 12,126,805.87/4,927.29
  6. Step 6: Final answer
    x = 2,461.15

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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.