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Finding the Fourth Proportional to 3,338.02, 5,006.49 and 1,029.52

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Solution

The fourth proportional to 3,338.02, 5,006.49 and 1,029.52 is: 1,544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.02 : 5,006.49 = 1,029.52 : x
  2. Step 2: Convert to fraction form
    3,338.02/5,006.49 = 1,029.52/x
  3. Step 3: Cross multiply
    3,338.02x = 5,006.49 × 1,029.52
  4. Step 4: Simplify right side
    3,338.02x = 5,154,281.58
  5. Step 5: Solve for x
    x = 5,154,281.58/3,338.02
  6. Step 6: Final answer
    x = 1,544.11

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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.