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Finding the Fourth Proportional to 3,820.46, 5,726.59 and 2,503.72

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Solution

The fourth proportional to 3,820.46, 5,726.59 and 2,503.72 is: 3,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.46 : 5,726.59 = 2,503.72 : x
  2. Step 2: Convert to fraction form
    3,820.46/5,726.59 = 2,503.72/x
  3. Step 3: Cross multiply
    3,820.46x = 5,726.59 × 2,503.72
  4. Step 4: Simplify right side
    3,820.46x = 14,337,777.91
  5. Step 5: Solve for x
    x = 14,337,777.91/3,820.46
  6. Step 6: Final answer
    x = 3,752.89

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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.