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Finding the Fourth Proportional to 3,926.84, 5,419.16 and 2,158.50

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Solution

The fourth proportional to 3,926.84, 5,419.16 and 2,158.50 is: 2,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.84 : 5,419.16 = 2,158.50 : x
  2. Step 2: Convert to fraction form
    3,926.84/5,419.16 = 2,158.50/x
  3. Step 3: Cross multiply
    3,926.84x = 5,419.16 × 2,158.50
  4. Step 4: Simplify right side
    3,926.84x = 11,697,256.86
  5. Step 5: Solve for x
    x = 11,697,256.86/3,926.84
  6. Step 6: Final answer
    x = 2,978.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.