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Finding the Fourth Proportional to 3,505.86, 5,230.08 and 3,410.53

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Solution

The fourth proportional to 3,505.86, 5,230.08 and 3,410.53 is: 5,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.86 : 5,230.08 = 3,410.53 : x
  2. Step 2: Convert to fraction form
    3,505.86/5,230.08 = 3,410.53/x
  3. Step 3: Cross multiply
    3,505.86x = 5,230.08 × 3,410.53
  4. Step 4: Simplify right side
    3,505.86x = 17,837,331.67
  5. Step 5: Solve for x
    x = 17,837,331.67/3,505.86
  6. Step 6: Final answer
    x = 5,087.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.