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Finding the Fourth Proportional to 5,831.63, 8,744.34 and 4,275.44

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Solution

The fourth proportional to 5,831.63, 8,744.34 and 4,275.44 is: 6,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.63 : 8,744.34 = 4,275.44 : x
  2. Step 2: Convert to fraction form
    5,831.63/8,744.34 = 4,275.44/x
  3. Step 3: Cross multiply
    5,831.63x = 8,744.34 × 4,275.44
  4. Step 4: Simplify right side
    5,831.63x = 37,385,857.29
  5. Step 5: Solve for x
    x = 37,385,857.29/5,831.63
  6. Step 6: Final answer
    x = 6,410.88

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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.