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Finding the Fourth Proportional to 3,399.18, 5,098.82 and 933.98

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Solution

The fourth proportional to 3,399.18, 5,098.82 and 933.98 is: 1,400.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.18 : 5,098.82 = 933.98 : x
  2. Step 2: Convert to fraction form
    3,399.18/5,098.82 = 933.98/x
  3. Step 3: Cross multiply
    3,399.18x = 5,098.82 × 933.98
  4. Step 4: Simplify right side
    3,399.18x = 4,762,199.67
  5. Step 5: Solve for x
    x = 4,762,199.67/3,399.18
  6. Step 6: Final answer
    x = 1,400.99

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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.