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Finding the Fourth Proportional to 5,116.64, 7,682.64 and 3,040.16

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Solution

The fourth proportional to 5,116.64, 7,682.64 and 3,040.16 is: 4,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.64 : 7,682.64 = 3,040.16 : x
  2. Step 2: Convert to fraction form
    5,116.64/7,682.64 = 3,040.16/x
  3. Step 3: Cross multiply
    5,116.64x = 7,682.64 × 3,040.16
  4. Step 4: Simplify right side
    5,116.64x = 23,356,454.82
  5. Step 5: Solve for x
    x = 23,356,454.82/5,116.64
  6. Step 6: Final answer
    x = 4,564.80

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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.