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Finding the Fourth Proportional to 5,235.72, 7,853.76 and 1,726.26

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Solution

The fourth proportional to 5,235.72, 7,853.76 and 1,726.26 is: 2,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.72 : 7,853.76 = 1,726.26 : x
  2. Step 2: Convert to fraction form
    5,235.72/7,853.76 = 1,726.26/x
  3. Step 3: Cross multiply
    5,235.72x = 7,853.76 × 1,726.26
  4. Step 4: Simplify right side
    5,235.72x = 13,557,631.74
  5. Step 5: Solve for x
    x = 13,557,631.74/5,235.72
  6. Step 6: Final answer
    x = 2,589.45

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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.