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Finding the Fourth Proportional to 5,283.36, 7,924.32 and 1,820.64

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Solution

The fourth proportional to 5,283.36, 7,924.32 and 1,820.64 is: 2,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.36 : 7,924.32 = 1,820.64 : x
  2. Step 2: Convert to fraction form
    5,283.36/7,924.32 = 1,820.64/x
  3. Step 3: Cross multiply
    5,283.36x = 7,924.32 × 1,820.64
  4. Step 4: Simplify right side
    5,283.36x = 14,427,333.96
  5. Step 5: Solve for x
    x = 14,427,333.96/5,283.36
  6. Step 6: Final answer
    x = 2,730.71

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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.