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Finding the Fourth Proportional to 3,416.99, 5,122.94 and 1,335.93

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Solution

The fourth proportional to 3,416.99, 5,122.94 and 1,335.93 is: 2,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.99 : 5,122.94 = 1,335.93 : x
  2. Step 2: Convert to fraction form
    3,416.99/5,122.94 = 1,335.93/x
  3. Step 3: Cross multiply
    3,416.99x = 5,122.94 × 1,335.93
  4. Step 4: Simplify right side
    3,416.99x = 6,843,882.55
  5. Step 5: Solve for x
    x = 6,843,882.55/3,416.99
  6. Step 6: Final answer
    x = 2,002.90

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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.