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Finding the Fourth Proportional to 5,886.39, 8,831.74 and 5,538.63

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Solution

The fourth proportional to 5,886.39, 8,831.74 and 5,538.63 is: 8,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.39 : 8,831.74 = 5,538.63 : x
  2. Step 2: Convert to fraction form
    5,886.39/8,831.74 = 5,538.63/x
  3. Step 3: Cross multiply
    5,886.39x = 8,831.74 × 5,538.63
  4. Step 4: Simplify right side
    5,886.39x = 48,915,740.12
  5. Step 5: Solve for x
    x = 48,915,740.12/5,886.39
  6. Step 6: Final answer
    x = 8,309.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.