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Finding the Fourth Proportional to 4,242.52, 6,359.82 and 3,313

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Solution

The fourth proportional to 4,242.52, 6,359.82 and 3,313 is: 4,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.52 : 6,359.82 = 3,313 : x
  2. Step 2: Convert to fraction form
    4,242.52/6,359.82 = 3,313/x
  3. Step 3: Cross multiply
    4,242.52x = 6,359.82 × 3,313
  4. Step 4: Simplify right side
    4,242.52x = 21,070,083.66
  5. Step 5: Solve for x
    x = 21,070,083.66/4,242.52
  6. Step 6: Final answer
    x = 4,966.41

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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.