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Finding the Fourth Proportional to 4,656.54, 6,426.07 and 2,667.05

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Solution

The fourth proportional to 4,656.54, 6,426.07 and 2,667.05 is: 3,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.54 : 6,426.07 = 2,667.05 : x
  2. Step 2: Convert to fraction form
    4,656.54/6,426.07 = 2,667.05/x
  3. Step 3: Cross multiply
    4,656.54x = 6,426.07 × 2,667.05
  4. Step 4: Simplify right side
    4,656.54x = 17,138,681.44
  5. Step 5: Solve for x
    x = 17,138,681.44/4,656.54
  6. Step 6: Final answer
    x = 3,680.56

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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.