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Finding the Fourth Proportional to 4,298.50, 5,928.69 and 2,974.42

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Solution

The fourth proportional to 4,298.50, 5,928.69 and 2,974.42 is: 4,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.50 : 5,928.69 = 2,974.42 : x
  2. Step 2: Convert to fraction form
    4,298.50/5,928.69 = 2,974.42/x
  3. Step 3: Cross multiply
    4,298.50x = 5,928.69 × 2,974.42
  4. Step 4: Simplify right side
    4,298.50x = 17,634,414.11
  5. Step 5: Solve for x
    x = 17,634,414.11/4,298.50
  6. Step 6: Final answer
    x = 4,102.46

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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.