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Finding the Fourth Proportional to 5,929.86, 8,840.74 and 5,778.39

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Solution

The fourth proportional to 5,929.86, 8,840.74 and 5,778.39 is: 8,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.86 : 8,840.74 = 5,778.39 : x
  2. Step 2: Convert to fraction form
    5,929.86/8,840.74 = 5,778.39/x
  3. Step 3: Cross multiply
    5,929.86x = 8,840.74 × 5,778.39
  4. Step 4: Simplify right side
    5,929.86x = 51,085,243.61
  5. Step 5: Solve for x
    x = 51,085,243.61/5,929.86
  6. Step 6: Final answer
    x = 8,614.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.