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Finding the Fourth Proportional to 3,780.59, 5,213.15 and 2,363.76

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Solution

The fourth proportional to 3,780.59, 5,213.15 and 2,363.76 is: 3,259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.59 : 5,213.15 = 2,363.76 : x
  2. Step 2: Convert to fraction form
    3,780.59/5,213.15 = 2,363.76/x
  3. Step 3: Cross multiply
    3,780.59x = 5,213.15 × 2,363.76
  4. Step 4: Simplify right side
    3,780.59x = 12,322,623.63
  5. Step 5: Solve for x
    x = 12,322,623.63/3,780.59
  6. Step 6: Final answer
    x = 3,259.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.