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Finding the Fourth Proportional to 5,739.52, 8,612.60 and 2,407.47

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Solution

The fourth proportional to 5,739.52, 8,612.60 and 2,407.47 is: 3,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.52 : 8,612.60 = 2,407.47 : x
  2. Step 2: Convert to fraction form
    5,739.52/8,612.60 = 2,407.47/x
  3. Step 3: Cross multiply
    5,739.52x = 8,612.60 × 2,407.47
  4. Step 4: Simplify right side
    5,739.52x = 20,734,582.14
  5. Step 5: Solve for x
    x = 20,734,582.14/5,739.52
  6. Step 6: Final answer
    x = 3,612.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.