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Finding the Fourth Proportional to 3,624.95, 5,437.38 and 1,433.66

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Solution

The fourth proportional to 3,624.95, 5,437.38 and 1,433.66 is: 2,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.95 : 5,437.38 = 1,433.66 : x
  2. Step 2: Convert to fraction form
    3,624.95/5,437.38 = 1,433.66/x
  3. Step 3: Cross multiply
    3,624.95x = 5,437.38 × 1,433.66
  4. Step 4: Simplify right side
    3,624.95x = 7,795,354.21
  5. Step 5: Solve for x
    x = 7,795,354.21/3,624.95
  6. Step 6: Final answer
    x = 2,150.47

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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.