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Finding the Fourth Proportional to 3,859.94, 5,326.74 and 2,091.50

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Solution

The fourth proportional to 3,859.94, 5,326.74 and 2,091.50 is: 2,886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.94 : 5,326.74 = 2,091.50 : x
  2. Step 2: Convert to fraction form
    3,859.94/5,326.74 = 2,091.50/x
  3. Step 3: Cross multiply
    3,859.94x = 5,326.74 × 2,091.50
  4. Step 4: Simplify right side
    3,859.94x = 11,140,876.71
  5. Step 5: Solve for x
    x = 11,140,876.71/3,859.94
  6. Step 6: Final answer
    x = 2,886.28

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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.