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Finding the Fourth Proportional to 3,085.86, 4,640.55 and 2,462.58

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Solution

The fourth proportional to 3,085.86, 4,640.55 and 2,462.58 is: 3,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.86 : 4,640.55 = 2,462.58 : x
  2. Step 2: Convert to fraction form
    3,085.86/4,640.55 = 2,462.58/x
  3. Step 3: Cross multiply
    3,085.86x = 4,640.55 × 2,462.58
  4. Step 4: Simplify right side
    3,085.86x = 11,427,725.62
  5. Step 5: Solve for x
    x = 11,427,725.62/3,085.86
  6. Step 6: Final answer
    x = 3,703.25

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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.