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Finding the Fourth Proportional to 5,202.30, 7,796.64 and 4,542.51

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Solution

The fourth proportional to 5,202.30, 7,796.64 and 4,542.51 is: 6,807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.30 : 7,796.64 = 4,542.51 : x
  2. Step 2: Convert to fraction form
    5,202.30/7,796.64 = 4,542.51/x
  3. Step 3: Cross multiply
    5,202.30x = 7,796.64 × 4,542.51
  4. Step 4: Simplify right side
    5,202.30x = 35,416,315.17
  5. Step 5: Solve for x
    x = 35,416,315.17/5,202.30
  6. Step 6: Final answer
    x = 6,807.82

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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.