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Finding the Fourth Proportional to 5,298.04, 7,312.02 and 3,202.84

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Solution

The fourth proportional to 5,298.04, 7,312.02 and 3,202.84 is: 4,420.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.04 : 7,312.02 = 3,202.84 : x
  2. Step 2: Convert to fraction form
    5,298.04/7,312.02 = 3,202.84/x
  3. Step 3: Cross multiply
    5,298.04x = 7,312.02 × 3,202.84
  4. Step 4: Simplify right side
    5,298.04x = 23,419,230.14
  5. Step 5: Solve for x
    x = 23,419,230.14/5,298.04
  6. Step 6: Final answer
    x = 4,420.36

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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.