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Finding the Fourth Proportional to 4,656.45, 6,426.02 and 2,667.65

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Solution

The fourth proportional to 4,656.45, 6,426.02 and 2,667.65 is: 3,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.45 : 6,426.02 = 2,667.65 : x
  2. Step 2: Convert to fraction form
    4,656.45/6,426.02 = 2,667.65/x
  3. Step 3: Cross multiply
    4,656.45x = 6,426.02 × 2,667.65
  4. Step 4: Simplify right side
    4,656.45x = 17,142,326.78
  5. Step 5: Solve for x
    x = 17,142,326.78/4,656.45
  6. Step 6: Final answer
    x = 3,681.42

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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.