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Finding the Fourth Proportional to 3,851.60, 5,777.56 and 3,206.88

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Solution

The fourth proportional to 3,851.60, 5,777.56 and 3,206.88 is: 4,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.60 : 5,777.56 = 3,206.88 : x
  2. Step 2: Convert to fraction form
    3,851.60/5,777.56 = 3,206.88/x
  3. Step 3: Cross multiply
    3,851.60x = 5,777.56 × 3,206.88
  4. Step 4: Simplify right side
    3,851.60x = 18,527,941.61
  5. Step 5: Solve for x
    x = 18,527,941.61/3,851.60
  6. Step 6: Final answer
    x = 4,810.45

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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.