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Finding the Fourth Proportional to 5,652.72, 7,798.89 and 3,413.75

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Solution

The fourth proportional to 5,652.72, 7,798.89 and 3,413.75 is: 4,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.72 : 7,798.89 = 3,413.75 : x
  2. Step 2: Convert to fraction form
    5,652.72/7,798.89 = 3,413.75/x
  3. Step 3: Cross multiply
    5,652.72x = 7,798.89 × 3,413.75
  4. Step 4: Simplify right side
    5,652.72x = 26,623,460.74
  5. Step 5: Solve for x
    x = 26,623,460.74/5,652.72
  6. Step 6: Final answer
    x = 4,709.85

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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.