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Finding the Fourth Proportional to 5,692.86, 7,856.22 and 3,335.22

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Solution

The fourth proportional to 5,692.86, 7,856.22 and 3,335.22 is: 4,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.86 : 7,856.22 = 3,335.22 : x
  2. Step 2: Convert to fraction form
    5,692.86/7,856.22 = 3,335.22/x
  3. Step 3: Cross multiply
    5,692.86x = 7,856.22 × 3,335.22
  4. Step 4: Simplify right side
    5,692.86x = 26,202,222.07
  5. Step 5: Solve for x
    x = 26,202,222.07/5,692.86
  6. Step 6: Final answer
    x = 4,602.65

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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.