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Finding the Fourth Proportional to 4,756.28, 7,137.12 and 2,564.96

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Solution

The fourth proportional to 4,756.28, 7,137.12 and 2,564.96 is: 3,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.28 : 7,137.12 = 2,564.96 : x
  2. Step 2: Convert to fraction form
    4,756.28/7,137.12 = 2,564.96/x
  3. Step 3: Cross multiply
    4,756.28x = 7,137.12 × 2,564.96
  4. Step 4: Simplify right side
    4,756.28x = 18,306,427.32
  5. Step 5: Solve for x
    x = 18,306,427.32/4,756.28
  6. Step 6: Final answer
    x = 3,848.90

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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.