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Finding the Fourth Proportional to 4,882.89, 7,322.84 and 1,762.52

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Solution

The fourth proportional to 4,882.89, 7,322.84 and 1,762.52 is: 2,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.89 : 7,322.84 = 1,762.52 : x
  2. Step 2: Convert to fraction form
    4,882.89/7,322.84 = 1,762.52/x
  3. Step 3: Cross multiply
    4,882.89x = 7,322.84 × 1,762.52
  4. Step 4: Simplify right side
    4,882.89x = 12,906,638.06
  5. Step 5: Solve for x
    x = 12,906,638.06/4,882.89
  6. Step 6: Final answer
    x = 2,643.24

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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.