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Finding the Fourth Proportional to 5,235.60, 7,853.38 and 1,339.90

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Solution

The fourth proportional to 5,235.60, 7,853.38 and 1,339.90 is: 2,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.60 : 7,853.38 = 1,339.90 : x
  2. Step 2: Convert to fraction form
    5,235.60/7,853.38 = 1,339.90/x
  3. Step 3: Cross multiply
    5,235.60x = 7,853.38 × 1,339.90
  4. Step 4: Simplify right side
    5,235.60x = 10,522,743.86
  5. Step 5: Solve for x
    x = 10,522,743.86/5,235.60
  6. Step 6: Final answer
    x = 2,009.84

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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.