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Finding the Fourth Proportional to 4,657.26, 6,427.05 and 2,667.90

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Solution

The fourth proportional to 4,657.26, 6,427.05 and 2,667.90 is: 3,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.26 : 6,427.05 = 2,667.90 : x
  2. Step 2: Convert to fraction form
    4,657.26/6,427.05 = 2,667.90/x
  3. Step 3: Cross multiply
    4,657.26x = 6,427.05 × 2,667.90
  4. Step 4: Simplify right side
    4,657.26x = 17,146,726.70
  5. Step 5: Solve for x
    x = 17,146,726.70/4,657.26
  6. Step 6: Final answer
    x = 3,681.72

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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.