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Finding the Fourth Proportional to 3,458.72, 4,761.93 and 3,078.80

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Solution

The fourth proportional to 3,458.72, 4,761.93 and 3,078.80 is: 4,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.72 : 4,761.93 = 3,078.80 : x
  2. Step 2: Convert to fraction form
    3,458.72/4,761.93 = 3,078.80/x
  3. Step 3: Cross multiply
    3,458.72x = 4,761.93 × 3,078.80
  4. Step 4: Simplify right side
    3,458.72x = 14,661,030.08
  5. Step 5: Solve for x
    x = 14,661,030.08/3,458.72
  6. Step 6: Final answer
    x = 4,238.86

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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.