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Finding the Fourth Proportional to 4,122.99, 5,688.90 and 2,355.17

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Solution

The fourth proportional to 4,122.99, 5,688.90 and 2,355.17 is: 3,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.99 : 5,688.90 = 2,355.17 : x
  2. Step 2: Convert to fraction form
    4,122.99/5,688.90 = 2,355.17/x
  3. Step 3: Cross multiply
    4,122.99x = 5,688.90 × 2,355.17
  4. Step 4: Simplify right side
    4,122.99x = 13,398,298.17
  5. Step 5: Solve for x
    x = 13,398,298.17/4,122.99
  6. Step 6: Final answer
    x = 3,249.66

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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.