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Finding the Fourth Proportional to 3,803.86, 5,700.59 and 2,414.70

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Solution

The fourth proportional to 3,803.86, 5,700.59 and 2,414.70 is: 3,618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.86 : 5,700.59 = 2,414.70 : x
  2. Step 2: Convert to fraction form
    3,803.86/5,700.59 = 2,414.70/x
  3. Step 3: Cross multiply
    3,803.86x = 5,700.59 × 2,414.70
  4. Step 4: Simplify right side
    3,803.86x = 13,765,214.67
  5. Step 5: Solve for x
    x = 13,765,214.67/3,803.86
  6. Step 6: Final answer
    x = 3,618.75

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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.