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Finding the Fourth Proportional to 4,209.36, 5,816.64 and 4,007.04

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Solution

The fourth proportional to 4,209.36, 5,816.64 and 4,007.04 is: 5,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.36 : 5,816.64 = 4,007.04 : x
  2. Step 2: Convert to fraction form
    4,209.36/5,816.64 = 4,007.04/x
  3. Step 3: Cross multiply
    4,209.36x = 5,816.64 × 4,007.04
  4. Step 4: Simplify right side
    4,209.36x = 23,307,509.15
  5. Step 5: Solve for x
    x = 23,307,509.15/4,209.36
  6. Step 6: Final answer
    x = 5,537.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.