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Finding the Fourth Proportional to 3,185.88, 4,774.77 and 1,726.26

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Solution

The fourth proportional to 3,185.88, 4,774.77 and 1,726.26 is: 2,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.88 : 4,774.77 = 1,726.26 : x
  2. Step 2: Convert to fraction form
    3,185.88/4,774.77 = 1,726.26/x
  3. Step 3: Cross multiply
    3,185.88x = 4,774.77 × 1,726.26
  4. Step 4: Simplify right side
    3,185.88x = 8,242,494.46
  5. Step 5: Solve for x
    x = 8,242,494.46/3,185.88
  6. Step 6: Final answer
    x = 2,587.20

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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.