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Finding the Fourth Proportional to 5,886.09, 8,831.55 and 3,112.02

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Solution

The fourth proportional to 5,886.09, 8,831.55 and 3,112.02 is: 4,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.09 : 8,831.55 = 3,112.02 : x
  2. Step 2: Convert to fraction form
    5,886.09/8,831.55 = 3,112.02/x
  3. Step 3: Cross multiply
    5,886.09x = 8,831.55 × 3,112.02
  4. Step 4: Simplify right side
    5,886.09x = 27,483,960.23
  5. Step 5: Solve for x
    x = 27,483,960.23/5,886.09
  6. Step 6: Final answer
    x = 4,669.31

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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.