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Finding the Fourth Proportional to 3,820.64, 5,728.80 and 1,873.76

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Solution

The fourth proportional to 3,820.64, 5,728.80 and 1,873.76 is: 2,809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.64 : 5,728.80 = 1,873.76 : x
  2. Step 2: Convert to fraction form
    3,820.64/5,728.80 = 1,873.76/x
  3. Step 3: Cross multiply
    3,820.64x = 5,728.80 × 1,873.76
  4. Step 4: Simplify right side
    3,820.64x = 10,734,396.29
  5. Step 5: Solve for x
    x = 10,734,396.29/3,820.64
  6. Step 6: Final answer
    x = 2,809.58

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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.