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Finding the Fourth Proportional to 3,624.71, 5,437.41 and 1,158.95

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Solution

The fourth proportional to 3,624.71, 5,437.41 and 1,158.95 is: 1,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.71 : 5,437.41 = 1,158.95 : x
  2. Step 2: Convert to fraction form
    3,624.71/5,437.41 = 1,158.95/x
  3. Step 3: Cross multiply
    3,624.71x = 5,437.41 × 1,158.95
  4. Step 4: Simplify right side
    3,624.71x = 6,301,686.32
  5. Step 5: Solve for x
    x = 6,301,686.32/3,624.71
  6. Step 6: Final answer
    x = 1,738.54

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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.