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Finding the Fourth Proportional to 4,699.38, 7,052.26 and 2,509.68

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Solution

The fourth proportional to 4,699.38, 7,052.26 and 2,509.68 is: 3,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.38 : 7,052.26 = 2,509.68 : x
  2. Step 2: Convert to fraction form
    4,699.38/7,052.26 = 2,509.68/x
  3. Step 3: Cross multiply
    4,699.38x = 7,052.26 × 2,509.68
  4. Step 4: Simplify right side
    4,699.38x = 17,698,915.88
  5. Step 5: Solve for x
    x = 17,698,915.88/4,699.38
  6. Step 6: Final answer
    x = 3,766.22

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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.