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Finding the Fourth Proportional to 4,429.40, 6,644.90 and 2,232.60

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Solution

The fourth proportional to 4,429.40, 6,644.90 and 2,232.60 is: 3,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429.40 : 6,644.90 = 2,232.60 : x
  2. Step 2: Convert to fraction form
    4,429.40/6,644.90 = 2,232.60/x
  3. Step 3: Cross multiply
    4,429.40x = 6,644.90 × 2,232.60
  4. Step 4: Simplify right side
    4,429.40x = 14,835,403.74
  5. Step 5: Solve for x
    x = 14,835,403.74/4,429.40
  6. Step 6: Final answer
    x = 3,349.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.