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Finding the Fourth Proportional to 5,786.64, 8,679.96 and 4,919.13

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Solution

The fourth proportional to 5,786.64, 8,679.96 and 4,919.13 is: 7,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.64 : 8,679.96 = 4,919.13 : x
  2. Step 2: Convert to fraction form
    5,786.64/8,679.96 = 4,919.13/x
  3. Step 3: Cross multiply
    5,786.64x = 8,679.96 × 4,919.13
  4. Step 4: Simplify right side
    5,786.64x = 42,697,851.63
  5. Step 5: Solve for x
    x = 42,697,851.63/5,786.64
  6. Step 6: Final answer
    x = 7,378.70

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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.