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Finding the Fourth Proportional to 5,914.33, 8,856.34 and 5,739.14

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Solution

The fourth proportional to 5,914.33, 8,856.34 and 5,739.14 is: 8,594.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.33 : 8,856.34 = 5,739.14 : x
  2. Step 2: Convert to fraction form
    5,914.33/8,856.34 = 5,739.14/x
  3. Step 3: Cross multiply
    5,914.33x = 8,856.34 × 5,739.14
  4. Step 4: Simplify right side
    5,914.33x = 50,827,775.15
  5. Step 5: Solve for x
    x = 50,827,775.15/5,914.33
  6. Step 6: Final answer
    x = 8,594.00

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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.