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Finding the Fourth Proportional to 5,077.64, 7,007.67 and 2,840.30

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Solution

The fourth proportional to 5,077.64, 7,007.67 and 2,840.30 is: 3,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.64 : 7,007.67 = 2,840.30 : x
  2. Step 2: Convert to fraction form
    5,077.64/7,007.67 = 2,840.30/x
  3. Step 3: Cross multiply
    5,077.64x = 7,007.67 × 2,840.30
  4. Step 4: Simplify right side
    5,077.64x = 19,903,885.10
  5. Step 5: Solve for x
    x = 19,903,885.10/5,077.64
  6. Step 6: Final answer
    x = 3,919.91

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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.