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Finding the Fourth Proportional to 4,775.76, 7,156.14 and 2,274.06

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Solution

The fourth proportional to 4,775.76, 7,156.14 and 2,274.06 is: 3,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.76 : 7,156.14 = 2,274.06 : x
  2. Step 2: Convert to fraction form
    4,775.76/7,156.14 = 2,274.06/x
  3. Step 3: Cross multiply
    4,775.76x = 7,156.14 × 2,274.06
  4. Step 4: Simplify right side
    4,775.76x = 16,273,491.73
  5. Step 5: Solve for x
    x = 16,273,491.73/4,775.76
  6. Step 6: Final answer
    x = 3,407.52

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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.