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Finding the Fourth Proportional to 5,821.86, 8,733.88 and 5,293.68

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Solution

The fourth proportional to 5,821.86, 8,733.88 and 5,293.68 is: 7,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.86 : 8,733.88 = 5,293.68 : x
  2. Step 2: Convert to fraction form
    5,821.86/8,733.88 = 5,293.68/x
  3. Step 3: Cross multiply
    5,821.86x = 8,733.88 × 5,293.68
  4. Step 4: Simplify right side
    5,821.86x = 46,234,334.53
  5. Step 5: Solve for x
    x = 46,234,334.53/5,821.86
  6. Step 6: Final answer
    x = 7,941.50

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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.