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Finding the Fourth Proportional to 4,788.85, 7,184 and 2,447.59

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Solution

The fourth proportional to 4,788.85, 7,184 and 2,447.59 is: 3,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.85 : 7,184 = 2,447.59 : x
  2. Step 2: Convert to fraction form
    4,788.85/7,184 = 2,447.59/x
  3. Step 3: Cross multiply
    4,788.85x = 7,184 × 2,447.59
  4. Step 4: Simplify right side
    4,788.85x = 17,583,486.56
  5. Step 5: Solve for x
    x = 17,583,486.56/4,788.85
  6. Step 6: Final answer
    x = 3,671.76

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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.