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Finding the Fourth Proportional to 3,726.17, 5,588 and 1,504.43

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Solution

The fourth proportional to 3,726.17, 5,588 and 1,504.43 is: 2,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.17 : 5,588 = 1,504.43 : x
  2. Step 2: Convert to fraction form
    3,726.17/5,588 = 1,504.43/x
  3. Step 3: Cross multiply
    3,726.17x = 5,588 × 1,504.43
  4. Step 4: Simplify right side
    3,726.17x = 8,406,754.84
  5. Step 5: Solve for x
    x = 8,406,754.84/3,726.17
  6. Step 6: Final answer
    x = 2,256.14

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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.