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Finding the Fourth Proportional to 5,852.78, 8,766.66 and 4,737.38

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Solution

The fourth proportional to 5,852.78, 8,766.66 and 4,737.38 is: 7,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.78 : 8,766.66 = 4,737.38 : x
  2. Step 2: Convert to fraction form
    5,852.78/8,766.66 = 4,737.38/x
  3. Step 3: Cross multiply
    5,852.78x = 8,766.66 × 4,737.38
  4. Step 4: Simplify right side
    5,852.78x = 41,530,999.75
  5. Step 5: Solve for x
    x = 41,530,999.75/5,852.78
  6. Step 6: Final answer
    x = 7,095.94

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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.