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Finding the Fourth Proportional to 5,863.08, 8,091 and 3,210.46

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Solution

The fourth proportional to 5,863.08, 8,091 and 3,210.46 is: 4,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.08 : 8,091 = 3,210.46 : x
  2. Step 2: Convert to fraction form
    5,863.08/8,091 = 3,210.46/x
  3. Step 3: Cross multiply
    5,863.08x = 8,091 × 3,210.46
  4. Step 4: Simplify right side
    5,863.08x = 25,975,831.86
  5. Step 5: Solve for x
    x = 25,975,831.86/5,863.08
  6. Step 6: Final answer
    x = 4,430.41

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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.