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Finding the Fourth Proportional to 5,187.78, 7,783.20 and 2,416.08

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Solution

The fourth proportional to 5,187.78, 7,783.20 and 2,416.08 is: 3,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.78 : 7,783.20 = 2,416.08 : x
  2. Step 2: Convert to fraction form
    5,187.78/7,783.20 = 2,416.08/x
  3. Step 3: Cross multiply
    5,187.78x = 7,783.20 × 2,416.08
  4. Step 4: Simplify right side
    5,187.78x = 18,804,833.86
  5. Step 5: Solve for x
    x = 18,804,833.86/5,187.78
  6. Step 6: Final answer
    x = 3,624.83

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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.