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Finding the Fourth Proportional to 3,693.54, 5,102.07 and 2,952.69

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Solution

The fourth proportional to 3,693.54, 5,102.07 and 2,952.69 is: 4,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.54 : 5,102.07 = 2,952.69 : x
  2. Step 2: Convert to fraction form
    3,693.54/5,102.07 = 2,952.69/x
  3. Step 3: Cross multiply
    3,693.54x = 5,102.07 × 2,952.69
  4. Step 4: Simplify right side
    3,693.54x = 15,064,831.07
  5. Step 5: Solve for x
    x = 15,064,831.07/3,693.54
  6. Step 6: Final answer
    x = 4,078.70

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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.