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Finding the Fourth Proportional to 5,823.50, 8,036.46 and 3,170.90

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Solution

The fourth proportional to 5,823.50, 8,036.46 and 3,170.90 is: 4,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.50 : 8,036.46 = 3,170.90 : x
  2. Step 2: Convert to fraction form
    5,823.50/8,036.46 = 3,170.90/x
  3. Step 3: Cross multiply
    5,823.50x = 8,036.46 × 3,170.90
  4. Step 4: Simplify right side
    5,823.50x = 25,482,831.11
  5. Step 5: Solve for x
    x = 25,482,831.11/5,823.50
  6. Step 6: Final answer
    x = 4,375.87

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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.