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Finding the Fourth Proportional to 4,526.64, 6,792 and 2,882.76

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Solution

The fourth proportional to 4,526.64, 6,792 and 2,882.76 is: 4,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526.64 : 6,792 = 2,882.76 : x
  2. Step 2: Convert to fraction form
    4,526.64/6,792 = 2,882.76/x
  3. Step 3: Cross multiply
    4,526.64x = 6,792 × 2,882.76
  4. Step 4: Simplify right side
    4,526.64x = 19,579,705.92
  5. Step 5: Solve for x
    x = 19,579,705.92/4,526.64
  6. Step 6: Final answer
    x = 4,325.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.