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Finding the Fourth Proportional to 4,656.88, 6,424.68 and 2,887.84

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Solution

The fourth proportional to 4,656.88, 6,424.68 and 2,887.84 is: 3,984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.88 : 6,424.68 = 2,887.84 : x
  2. Step 2: Convert to fraction form
    4,656.88/6,424.68 = 2,887.84/x
  3. Step 3: Cross multiply
    4,656.88x = 6,424.68 × 2,887.84
  4. Step 4: Simplify right side
    4,656.88x = 18,553,447.89
  5. Step 5: Solve for x
    x = 18,553,447.89/4,656.88
  6. Step 6: Final answer
    x = 3,984.09

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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.