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Finding the Fourth Proportional to 5,804.96, 8,010.86 and 3,414.32

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Solution

The fourth proportional to 5,804.96, 8,010.86 and 3,414.32 is: 4,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.96 : 8,010.86 = 3,414.32 : x
  2. Step 2: Convert to fraction form
    5,804.96/8,010.86 = 3,414.32/x
  3. Step 3: Cross multiply
    5,804.96x = 8,010.86 × 3,414.32
  4. Step 4: Simplify right side
    5,804.96x = 27,351,639.52
  5. Step 5: Solve for x
    x = 27,351,639.52/5,804.96
  6. Step 6: Final answer
    x = 4,711.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.