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Finding the Fourth Proportional to 5,739.60, 8,602.22 and 2,448.86

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Solution

The fourth proportional to 5,739.60, 8,602.22 and 2,448.86 is: 3,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.60 : 8,602.22 = 2,448.86 : x
  2. Step 2: Convert to fraction form
    5,739.60/8,602.22 = 2,448.86/x
  3. Step 3: Cross multiply
    5,739.60x = 8,602.22 × 2,448.86
  4. Step 4: Simplify right side
    5,739.60x = 21,065,632.47
  5. Step 5: Solve for x
    x = 21,065,632.47/5,739.60
  6. Step 6: Final answer
    x = 3,670.23

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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.