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Finding the Fourth Proportional to 5,239.32, 7,853.90 and 1,726.91

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Solution

The fourth proportional to 5,239.32, 7,853.90 and 1,726.91 is: 2,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.32 : 7,853.90 = 1,726.91 : x
  2. Step 2: Convert to fraction form
    5,239.32/7,853.90 = 1,726.91/x
  3. Step 3: Cross multiply
    5,239.32x = 7,853.90 × 1,726.91
  4. Step 4: Simplify right side
    5,239.32x = 13,562,930.54
  5. Step 5: Solve for x
    x = 13,562,930.54/5,239.32
  6. Step 6: Final answer
    x = 2,588.68

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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.