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Finding the Fourth Proportional to 5,764.02, 7,954.32 and 3,246.13

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Solution

The fourth proportional to 5,764.02, 7,954.32 and 3,246.13 is: 4,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.02 : 7,954.32 = 3,246.13 : x
  2. Step 2: Convert to fraction form
    5,764.02/7,954.32 = 3,246.13/x
  3. Step 3: Cross multiply
    5,764.02x = 7,954.32 × 3,246.13
  4. Step 4: Simplify right side
    5,764.02x = 25,820,756.78
  5. Step 5: Solve for x
    x = 25,820,756.78/5,764.02
  6. Step 6: Final answer
    x = 4,479.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.