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Finding the Fourth Proportional to 4,781.30, 7,169.19 and 1,856.19

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Solution

The fourth proportional to 4,781.30, 7,169.19 and 1,856.19 is: 2,783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.30 : 7,169.19 = 1,856.19 : x
  2. Step 2: Convert to fraction form
    4,781.30/7,169.19 = 1,856.19/x
  3. Step 3: Cross multiply
    4,781.30x = 7,169.19 × 1,856.19
  4. Step 4: Simplify right side
    4,781.30x = 13,307,378.79
  5. Step 5: Solve for x
    x = 13,307,378.79/4,781.30
  6. Step 6: Final answer
    x = 2,783.21

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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.