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Finding the Fourth Proportional to 4,068.96, 6,102 and 2,509.80

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Solution

The fourth proportional to 4,068.96, 6,102 and 2,509.80 is: 3,763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.96 : 6,102 = 2,509.80 : x
  2. Step 2: Convert to fraction form
    4,068.96/6,102 = 2,509.80/x
  3. Step 3: Cross multiply
    4,068.96x = 6,102 × 2,509.80
  4. Step 4: Simplify right side
    4,068.96x = 15,314,799.60
  5. Step 5: Solve for x
    x = 15,314,799.60/4,068.96
  6. Step 6: Final answer
    x = 3,763.81

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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.