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Finding the Fourth Proportional to 4,437.81, 6,658.28 and 1,972.41

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Solution

The fourth proportional to 4,437.81, 6,658.28 and 1,972.41 is: 2,959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,437.81 : 6,658.28 = 1,972.41 : x
  2. Step 2: Convert to fraction form
    4,437.81/6,658.28 = 1,972.41/x
  3. Step 3: Cross multiply
    4,437.81x = 6,658.28 × 1,972.41
  4. Step 4: Simplify right side
    4,437.81x = 13,132,858.05
  5. Step 5: Solve for x
    x = 13,132,858.05/4,437.81
  6. Step 6: Final answer
    x = 2,959.31

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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.