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Finding the Fourth Proportional to 3,624.61, 5,435.59 and 1,252.09

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Solution

The fourth proportional to 3,624.61, 5,435.59 and 1,252.09 is: 1,877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.61 : 5,435.59 = 1,252.09 : x
  2. Step 2: Convert to fraction form
    3,624.61/5,435.59 = 1,252.09/x
  3. Step 3: Cross multiply
    3,624.61x = 5,435.59 × 1,252.09
  4. Step 4: Simplify right side
    3,624.61x = 6,805,846.84
  5. Step 5: Solve for x
    x = 6,805,846.84/3,624.61
  6. Step 6: Final answer
    x = 1,877.67

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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.