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Finding the Fourth Proportional to 5,367.18, 8,050.79 and 1,902

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Solution

The fourth proportional to 5,367.18, 8,050.79 and 1,902 is: 2,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.18 : 8,050.79 = 1,902 : x
  2. Step 2: Convert to fraction form
    5,367.18/8,050.79 = 1,902/x
  3. Step 3: Cross multiply
    5,367.18x = 8,050.79 × 1,902
  4. Step 4: Simplify right side
    5,367.18x = 15,312,607.34
  5. Step 5: Solve for x
    x = 15,312,607.34/5,367.18
  6. Step 6: Final answer
    x = 2,853.01

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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.