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Finding the Fourth Proportional to 6,398.24, 8,831.97 and 3,746.50

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Solution

The fourth proportional to 6,398.24, 8,831.97 and 3,746.50 is: 5,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.24 : 8,831.97 = 3,746.50 : x
  2. Step 2: Convert to fraction form
    6,398.24/8,831.97 = 3,746.50/x
  3. Step 3: Cross multiply
    6,398.24x = 8,831.97 × 3,746.50
  4. Step 4: Simplify right side
    6,398.24x = 33,088,953.53
  5. Step 5: Solve for x
    x = 33,088,953.53/6,398.24
  6. Step 6: Final answer
    x = 5,171.58

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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.