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Finding the Fourth Proportional to 4,648, 6,414.06 and 2,658.82

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Solution

The fourth proportional to 4,648, 6,414.06 and 2,658.82 is: 3,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648 : 6,414.06 = 2,658.82 : x
  2. Step 2: Convert to fraction form
    4,648/6,414.06 = 2,658.82/x
  3. Step 3: Cross multiply
    4,648x = 6,414.06 × 2,658.82
  4. Step 4: Simplify right side
    4,648x = 17,053,831.01
  5. Step 5: Solve for x
    x = 17,053,831.01/4,648
  6. Step 6: Final answer
    x = 3,669.07

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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.