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Finding the Fourth Proportional to 4,101.75, 5,660.31 and 2,509.02

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Solution

The fourth proportional to 4,101.75, 5,660.31 and 2,509.02 is: 3,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.75 : 5,660.31 = 2,509.02 : x
  2. Step 2: Convert to fraction form
    4,101.75/5,660.31 = 2,509.02/x
  3. Step 3: Cross multiply
    4,101.75x = 5,660.31 × 2,509.02
  4. Step 4: Simplify right side
    4,101.75x = 14,201,831.00
  5. Step 5: Solve for x
    x = 14,201,831.00/4,101.75
  6. Step 6: Final answer
    x = 3,462.38

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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.