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Finding the Fourth Proportional to 5,209.36, 7,808.04 and 2,896.24

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Solution

The fourth proportional to 5,209.36, 7,808.04 and 2,896.24 is: 4,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.36 : 7,808.04 = 2,896.24 : x
  2. Step 2: Convert to fraction form
    5,209.36/7,808.04 = 2,896.24/x
  3. Step 3: Cross multiply
    5,209.36x = 7,808.04 × 2,896.24
  4. Step 4: Simplify right side
    5,209.36x = 22,613,957.77
  5. Step 5: Solve for x
    x = 22,613,957.77/5,209.36
  6. Step 6: Final answer
    x = 4,341.02

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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.