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Finding the Fourth Proportional to 3,700.40, 5,106.84 and 2,814.68

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Solution

The fourth proportional to 3,700.40, 5,106.84 and 2,814.68 is: 3,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.40 : 5,106.84 = 2,814.68 : x
  2. Step 2: Convert to fraction form
    3,700.40/5,106.84 = 2,814.68/x
  3. Step 3: Cross multiply
    3,700.40x = 5,106.84 × 2,814.68
  4. Step 4: Simplify right side
    3,700.40x = 14,374,120.41
  5. Step 5: Solve for x
    x = 14,374,120.41/3,700.40
  6. Step 6: Final answer
    x = 3,884.48

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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.