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Finding the Fourth Proportional to 3,506.86, 5,231.57 and 3,411.53

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Solution

The fourth proportional to 3,506.86, 5,231.57 and 3,411.53 is: 5,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.86 : 5,231.57 = 3,411.53 : x
  2. Step 2: Convert to fraction form
    3,506.86/5,231.57 = 3,411.53/x
  3. Step 3: Cross multiply
    3,506.86x = 5,231.57 × 3,411.53
  4. Step 4: Simplify right side
    3,506.86x = 17,847,658.00
  5. Step 5: Solve for x
    x = 17,847,658.00/3,506.86
  6. Step 6: Final answer
    x = 5,089.36

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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.