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Finding the Fourth Proportional to 3,624.80, 5,437.84 and 1,158.88

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Solution

The fourth proportional to 3,624.80, 5,437.84 and 1,158.88 is: 1,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.80 : 5,437.84 = 1,158.88 : x
  2. Step 2: Convert to fraction form
    3,624.80/5,437.84 = 1,158.88/x
  3. Step 3: Cross multiply
    3,624.80x = 5,437.84 × 1,158.88
  4. Step 4: Simplify right side
    3,624.80x = 6,301,804.02
  5. Step 5: Solve for x
    x = 6,301,804.02/3,624.80
  6. Step 6: Final answer
    x = 1,738.52

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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.