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Finding the Fourth Proportional to 4,400.40, 6,589.53 and 4,031.58

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Solution

The fourth proportional to 4,400.40, 6,589.53 and 4,031.58 is: 6,037.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400.40 : 6,589.53 = 4,031.58 : x
  2. Step 2: Convert to fraction form
    4,400.40/6,589.53 = 4,031.58/x
  3. Step 3: Cross multiply
    4,400.40x = 6,589.53 × 4,031.58
  4. Step 4: Simplify right side
    4,400.40x = 26,566,217.36
  5. Step 5: Solve for x
    x = 26,566,217.36/4,400.40
  6. Step 6: Final answer
    x = 6,037.23

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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.