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Finding the Fourth Proportional to 5,143.20, 7,716.02 and 1,858.68

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Solution

The fourth proportional to 5,143.20, 7,716.02 and 1,858.68 is: 2,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.20 : 7,716.02 = 1,858.68 : x
  2. Step 2: Convert to fraction form
    5,143.20/7,716.02 = 1,858.68/x
  3. Step 3: Cross multiply
    5,143.20x = 7,716.02 × 1,858.68
  4. Step 4: Simplify right side
    5,143.20x = 14,341,612.05
  5. Step 5: Solve for x
    x = 14,341,612.05/5,143.20
  6. Step 6: Final answer
    x = 2,788.46

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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.