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Finding the Fourth Proportional to 3,624.66, 5,437.90 and 1,027.60

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Solution

The fourth proportional to 3,624.66, 5,437.90 and 1,027.60 is: 1,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.66 : 5,437.90 = 1,027.60 : x
  2. Step 2: Convert to fraction form
    3,624.66/5,437.90 = 1,027.60/x
  3. Step 3: Cross multiply
    3,624.66x = 5,437.90 × 1,027.60
  4. Step 4: Simplify right side
    3,624.66x = 5,587,969.88
  5. Step 5: Solve for x
    x = 5,587,969.88/3,624.66
  6. Step 6: Final answer
    x = 1,541.65

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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.