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Finding the Fourth Proportional to 4,778.94, 7,167.05 and 1,856.57

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Solution

The fourth proportional to 4,778.94, 7,167.05 and 1,856.57 is: 2,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.94 : 7,167.05 = 1,856.57 : x
  2. Step 2: Convert to fraction form
    4,778.94/7,167.05 = 1,856.57/x
  3. Step 3: Cross multiply
    4,778.94x = 7,167.05 × 1,856.57
  4. Step 4: Simplify right side
    4,778.94x = 13,306,091.86
  5. Step 5: Solve for x
    x = 13,306,091.86/4,778.94
  6. Step 6: Final answer
    x = 2,784.32

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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.