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Finding the Fourth Proportional to 4,685.76, 7,023.74 and 2,217.64

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Solution

The fourth proportional to 4,685.76, 7,023.74 and 2,217.64 is: 3,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.76 : 7,023.74 = 2,217.64 : x
  2. Step 2: Convert to fraction form
    4,685.76/7,023.74 = 2,217.64/x
  3. Step 3: Cross multiply
    4,685.76x = 7,023.74 × 2,217.64
  4. Step 4: Simplify right side
    4,685.76x = 15,576,126.77
  5. Step 5: Solve for x
    x = 15,576,126.77/4,685.76
  6. Step 6: Final answer
    x = 3,324.14

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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.