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Finding the Fourth Proportional to 4,774.90, 7,158.63 and 2,274.78

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Solution

The fourth proportional to 4,774.90, 7,158.63 and 2,274.78 is: 3,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.90 : 7,158.63 = 2,274.78 : x
  2. Step 2: Convert to fraction form
    4,774.90/7,158.63 = 2,274.78/x
  3. Step 3: Cross multiply
    4,774.90x = 7,158.63 × 2,274.78
  4. Step 4: Simplify right side
    4,774.90x = 16,284,330.93
  5. Step 5: Solve for x
    x = 16,284,330.93/4,774.90
  6. Step 6: Final answer
    x = 3,410.40

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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.