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Finding the Fourth Proportional to 4,489.19, 6,736.86 and 1,567.49

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Solution

The fourth proportional to 4,489.19, 6,736.86 and 1,567.49 is: 2,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.19 : 6,736.86 = 1,567.49 : x
  2. Step 2: Convert to fraction form
    4,489.19/6,736.86 = 1,567.49/x
  3. Step 3: Cross multiply
    4,489.19x = 6,736.86 × 1,567.49
  4. Step 4: Simplify right side
    4,489.19x = 10,559,927.00
  5. Step 5: Solve for x
    x = 10,559,927.00/4,489.19
  6. Step 6: Final answer
    x = 2,352.30

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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.