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Finding the Fourth Proportional to 3,726.01, 5,584.14 and 1,536.37

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Solution

The fourth proportional to 3,726.01, 5,584.14 and 1,536.37 is: 2,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.01 : 5,584.14 = 1,536.37 : x
  2. Step 2: Convert to fraction form
    3,726.01/5,584.14 = 1,536.37/x
  3. Step 3: Cross multiply
    3,726.01x = 5,584.14 × 1,536.37
  4. Step 4: Simplify right side
    3,726.01x = 8,579,305.17
  5. Step 5: Solve for x
    x = 8,579,305.17/3,726.01
  6. Step 6: Final answer
    x = 2,302.54

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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.