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Finding the Fourth Proportional to 3,358.65, 5,038.26 and 1,383.82

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Solution

The fourth proportional to 3,358.65, 5,038.26 and 1,383.82 is: 2,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.65 : 5,038.26 = 1,383.82 : x
  2. Step 2: Convert to fraction form
    3,358.65/5,038.26 = 1,383.82/x
  3. Step 3: Cross multiply
    3,358.65x = 5,038.26 × 1,383.82
  4. Step 4: Simplify right side
    3,358.65x = 6,972,044.95
  5. Step 5: Solve for x
    x = 6,972,044.95/3,358.65
  6. Step 6: Final answer
    x = 2,075.85

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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.