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Finding the Fourth Proportional to 5,692.79, 7,856.76 and 3,454.53

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Solution

The fourth proportional to 5,692.79, 7,856.76 and 3,454.53 is: 4,767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.79 : 7,856.76 = 3,454.53 : x
  2. Step 2: Convert to fraction form
    5,692.79/7,856.76 = 3,454.53/x
  3. Step 3: Cross multiply
    5,692.79x = 7,856.76 × 3,454.53
  4. Step 4: Simplify right side
    5,692.79x = 27,141,413.12
  5. Step 5: Solve for x
    x = 27,141,413.12/5,692.79
  6. Step 6: Final answer
    x = 4,767.69

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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.