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Finding the Fourth Proportional to 5,223.58, 7,828.01 and 2,884.64

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Solution

The fourth proportional to 5,223.58, 7,828.01 and 2,884.64 is: 4,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.58 : 7,828.01 = 2,884.64 : x
  2. Step 2: Convert to fraction form
    5,223.58/7,828.01 = 2,884.64/x
  3. Step 3: Cross multiply
    5,223.58x = 7,828.01 × 2,884.64
  4. Step 4: Simplify right side
    5,223.58x = 22,580,983.55
  5. Step 5: Solve for x
    x = 22,580,983.55/5,223.58
  6. Step 6: Final answer
    x = 4,322.89

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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.