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Finding the Fourth Proportional to 3,377.04, 5,063.40 and 1,428

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Solution

The fourth proportional to 3,377.04, 5,063.40 and 1,428 is: 2,141.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.04 : 5,063.40 = 1,428 : x
  2. Step 2: Convert to fraction form
    3,377.04/5,063.40 = 1,428/x
  3. Step 3: Cross multiply
    3,377.04x = 5,063.40 × 1,428
  4. Step 4: Simplify right side
    3,377.04x = 7,230,535.20
  5. Step 5: Solve for x
    x = 7,230,535.20/3,377.04
  6. Step 6: Final answer
    x = 2,141.09

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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.