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Finding the Fourth Proportional to 3,726.16, 5,588.24 and 1,774.48

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Solution

The fourth proportional to 3,726.16, 5,588.24 and 1,774.48 is: 2,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.16 : 5,588.24 = 1,774.48 : x
  2. Step 2: Convert to fraction form
    3,726.16/5,588.24 = 1,774.48/x
  3. Step 3: Cross multiply
    3,726.16x = 5,588.24 × 1,774.48
  4. Step 4: Simplify right side
    3,726.16x = 9,916,220.12
  5. Step 5: Solve for x
    x = 9,916,220.12/3,726.16
  6. Step 6: Final answer
    x = 2,661.24

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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.