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Finding the Fourth Proportional to 3,883.60, 5,824.76 and 1,803.52

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Solution

The fourth proportional to 3,883.60, 5,824.76 and 1,803.52 is: 2,704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.60 : 5,824.76 = 1,803.52 : x
  2. Step 2: Convert to fraction form
    3,883.60/5,824.76 = 1,803.52/x
  3. Step 3: Cross multiply
    3,883.60x = 5,824.76 × 1,803.52
  4. Step 4: Simplify right side
    3,883.60x = 10,505,071.16
  5. Step 5: Solve for x
    x = 10,505,071.16/3,883.60
  6. Step 6: Final answer
    x = 2,704.98

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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.