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Finding the Fourth Proportional to 6,557.36, 9,838.36 and 3,049.04

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Solution

The fourth proportional to 6,557.36, 9,838.36 and 3,049.04 is: 4,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.36 : 9,838.36 = 3,049.04 : x
  2. Step 2: Convert to fraction form
    6,557.36/9,838.36 = 3,049.04/x
  3. Step 3: Cross multiply
    6,557.36x = 9,838.36 × 3,049.04
  4. Step 4: Simplify right side
    6,557.36x = 29,997,553.17
  5. Step 5: Solve for x
    x = 29,997,553.17/6,557.36
  6. Step 6: Final answer
    x = 4,574.64

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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.