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Finding the Fourth Proportional to 5,064.36, 7,598.16 and 2,142.78

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Solution

The fourth proportional to 5,064.36, 7,598.16 and 2,142.78 is: 3,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.36 : 7,598.16 = 2,142.78 : x
  2. Step 2: Convert to fraction form
    5,064.36/7,598.16 = 2,142.78/x
  3. Step 3: Cross multiply
    5,064.36x = 7,598.16 × 2,142.78
  4. Step 4: Simplify right side
    5,064.36x = 16,281,185.28
  5. Step 5: Solve for x
    x = 16,281,185.28/5,064.36
  6. Step 6: Final answer
    x = 3,214.86

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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.