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Finding the Fourth Proportional to 6,401.86, 8,831.01 and 3,748.75

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Solution

The fourth proportional to 6,401.86, 8,831.01 and 3,748.75 is: 5,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.86 : 8,831.01 = 3,748.75 : x
  2. Step 2: Convert to fraction form
    6,401.86/8,831.01 = 3,748.75/x
  3. Step 3: Cross multiply
    6,401.86x = 8,831.01 × 3,748.75
  4. Step 4: Simplify right side
    6,401.86x = 33,105,248.74
  5. Step 5: Solve for x
    x = 33,105,248.74/6,401.86
  6. Step 6: Final answer
    x = 5,171.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.