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Finding the Fourth Proportional to 3,758.01, 5,184.40 and 2,265.05

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Solution

The fourth proportional to 3,758.01, 5,184.40 and 2,265.05 is: 3,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.01 : 5,184.40 = 2,265.05 : x
  2. Step 2: Convert to fraction form
    3,758.01/5,184.40 = 2,265.05/x
  3. Step 3: Cross multiply
    3,758.01x = 5,184.40 × 2,265.05
  4. Step 4: Simplify right side
    3,758.01x = 11,742,912.26
  5. Step 5: Solve for x
    x = 11,742,912.26/3,758.01
  6. Step 6: Final answer
    x = 3,124.77

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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.