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Finding the Fourth Proportional to 5,784.22, 8,670.86 and 5,253.87

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Solution

The fourth proportional to 5,784.22, 8,670.86 and 5,253.87 is: 7,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.22 : 8,670.86 = 5,253.87 : x
  2. Step 2: Convert to fraction form
    5,784.22/8,670.86 = 5,253.87/x
  3. Step 3: Cross multiply
    5,784.22x = 8,670.86 × 5,253.87
  4. Step 4: Simplify right side
    5,784.22x = 45,555,571.23
  5. Step 5: Solve for x
    x = 45,555,571.23/5,784.22
  6. Step 6: Final answer
    x = 7,875.84

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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.