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Finding the Fourth Proportional to 3,855.41, 5,320.53 and 2,263.19

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Solution

The fourth proportional to 3,855.41, 5,320.53 and 2,263.19 is: 3,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.41 : 5,320.53 = 2,263.19 : x
  2. Step 2: Convert to fraction form
    3,855.41/5,320.53 = 2,263.19/x
  3. Step 3: Cross multiply
    3,855.41x = 5,320.53 × 2,263.19
  4. Step 4: Simplify right side
    3,855.41x = 12,041,383.59
  5. Step 5: Solve for x
    x = 12,041,383.59/3,855.41
  6. Step 6: Final answer
    x = 3,123.25

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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.