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Finding the Fourth Proportional to 5,235.58, 7,853.43 and 1,339.88

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Solution

The fourth proportional to 5,235.58, 7,853.43 and 1,339.88 is: 2,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.58 : 7,853.43 = 1,339.88 : x
  2. Step 2: Convert to fraction form
    5,235.58/7,853.43 = 1,339.88/x
  3. Step 3: Cross multiply
    5,235.58x = 7,853.43 × 1,339.88
  4. Step 4: Simplify right side
    5,235.58x = 10,522,653.79
  5. Step 5: Solve for x
    x = 10,522,653.79/5,235.58
  6. Step 6: Final answer
    x = 2,009.84

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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.