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Finding the Fourth Proportional to 3,624.59, 5,437.09 and 1,159.22

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Solution

The fourth proportional to 3,624.59, 5,437.09 and 1,159.22 is: 1,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.59 : 5,437.09 = 1,159.22 : x
  2. Step 2: Convert to fraction form
    3,624.59/5,437.09 = 1,159.22/x
  3. Step 3: Cross multiply
    3,624.59x = 5,437.09 × 1,159.22
  4. Step 4: Simplify right side
    3,624.59x = 6,302,783.47
  5. Step 5: Solve for x
    x = 6,302,783.47/3,624.59
  6. Step 6: Final answer
    x = 1,738.90

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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.