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Finding the Fourth Proportional to 4,771.84, 7,148.52 and 2,685.52

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Solution

The fourth proportional to 4,771.84, 7,148.52 and 2,685.52 is: 4,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.84 : 7,148.52 = 2,685.52 : x
  2. Step 2: Convert to fraction form
    4,771.84/7,148.52 = 2,685.52/x
  3. Step 3: Cross multiply
    4,771.84x = 7,148.52 × 2,685.52
  4. Step 4: Simplify right side
    4,771.84x = 19,197,493.43
  5. Step 5: Solve for x
    x = 19,197,493.43/4,771.84
  6. Step 6: Final answer
    x = 4,023.08

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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.