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Finding the Fourth Proportional to 5,189.59, 7,784.37 and 1,902.94

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Solution

The fourth proportional to 5,189.59, 7,784.37 and 1,902.94 is: 2,854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.59 : 7,784.37 = 1,902.94 : x
  2. Step 2: Convert to fraction form
    5,189.59/7,784.37 = 1,902.94/x
  3. Step 3: Cross multiply
    5,189.59x = 7,784.37 × 1,902.94
  4. Step 4: Simplify right side
    5,189.59x = 14,813,189.05
  5. Step 5: Solve for x
    x = 14,813,189.05/5,189.59
  6. Step 6: Final answer
    x = 2,854.40

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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.