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Finding the Fourth Proportional to 3,758.00, 5,636.18 and 1,385.51

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Solution

The fourth proportional to 3,758.00, 5,636.18 and 1,385.51 is: 2,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.00 : 5,636.18 = 1,385.51 : x
  2. Step 2: Convert to fraction form
    3,758.00/5,636.18 = 1,385.51/x
  3. Step 3: Cross multiply
    3,758.00x = 5,636.18 × 1,385.51
  4. Step 4: Simplify right side
    3,758.00x = 7,808,959.03
  5. Step 5: Solve for x
    x = 7,808,959.03/3,758.00
  6. Step 6: Final answer
    x = 2,077.96

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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.