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Finding the Fourth Proportional to 5,300.64, 7,951.23 and 2,667.74

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Solution

The fourth proportional to 5,300.64, 7,951.23 and 2,667.74 is: 4,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.64 : 7,951.23 = 2,667.74 : x
  2. Step 2: Convert to fraction form
    5,300.64/7,951.23 = 2,667.74/x
  3. Step 3: Cross multiply
    5,300.64x = 7,951.23 × 2,667.74
  4. Step 4: Simplify right side
    5,300.64x = 21,211,774.56
  5. Step 5: Solve for x
    x = 21,211,774.56/5,300.64
  6. Step 6: Final answer
    x = 4,001.74

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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.