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Finding the Fourth Proportional to 4,429.17, 6,644.70 and 1,509.39

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Solution

The fourth proportional to 4,429.17, 6,644.70 and 1,509.39 is: 2,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429.17 : 6,644.70 = 1,509.39 : x
  2. Step 2: Convert to fraction form
    4,429.17/6,644.70 = 1,509.39/x
  3. Step 3: Cross multiply
    4,429.17x = 6,644.70 × 1,509.39
  4. Step 4: Simplify right side
    4,429.17x = 10,029,443.73
  5. Step 5: Solve for x
    x = 10,029,443.73/4,429.17
  6. Step 6: Final answer
    x = 2,264.41

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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.