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Finding the Fourth Proportional to 4,815.36, 7,223.04 and 4,569.12

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Solution

The fourth proportional to 4,815.36, 7,223.04 and 4,569.12 is: 6,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.36 : 7,223.04 = 4,569.12 : x
  2. Step 2: Convert to fraction form
    4,815.36/7,223.04 = 4,569.12/x
  3. Step 3: Cross multiply
    4,815.36x = 7,223.04 × 4,569.12
  4. Step 4: Simplify right side
    4,815.36x = 33,002,936.52
  5. Step 5: Solve for x
    x = 33,002,936.52/4,815.36
  6. Step 6: Final answer
    x = 6,853.68

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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.