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Finding the Fourth Proportional to 5,202.30, 7,797.16 and 3,006.51

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Solution

The fourth proportional to 5,202.30, 7,797.16 and 3,006.51 is: 4,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.30 : 7,797.16 = 3,006.51 : x
  2. Step 2: Convert to fraction form
    5,202.30/7,797.16 = 3,006.51/x
  3. Step 3: Cross multiply
    5,202.30x = 7,797.16 × 3,006.51
  4. Step 4: Simplify right side
    5,202.30x = 23,442,239.51
  5. Step 5: Solve for x
    x = 23,442,239.51/5,202.30
  6. Step 6: Final answer
    x = 4,506.13

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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.