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Finding the Fourth Proportional to 3,803.60, 5,701.62 and 1,204.58

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Solution

The fourth proportional to 3,803.60, 5,701.62 and 1,204.58 is: 1,805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.60 : 5,701.62 = 1,204.58 : x
  2. Step 2: Convert to fraction form
    3,803.60/5,701.62 = 1,204.58/x
  3. Step 3: Cross multiply
    3,803.60x = 5,701.62 × 1,204.58
  4. Step 4: Simplify right side
    3,803.60x = 6,868,057.42
  5. Step 5: Solve for x
    x = 6,868,057.42/3,803.60
  6. Step 6: Final answer
    x = 1,805.67

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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.