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Finding the Fourth Proportional to 5,778.29, 8,657.10 and 4,948.45

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Solution

The fourth proportional to 5,778.29, 8,657.10 and 4,948.45 is: 7,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.29 : 8,657.10 = 4,948.45 : x
  2. Step 2: Convert to fraction form
    5,778.29/8,657.10 = 4,948.45/x
  3. Step 3: Cross multiply
    5,778.29x = 8,657.10 × 4,948.45
  4. Step 4: Simplify right side
    5,778.29x = 42,839,201.75
  5. Step 5: Solve for x
    x = 42,839,201.75/5,778.29
  6. Step 6: Final answer
    x = 7,413.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.