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Finding the Fourth Proportional to 4,735.88, 6,531.27 and 2,967.68

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Solution

The fourth proportional to 4,735.88, 6,531.27 and 2,967.68 is: 4,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.88 : 6,531.27 = 2,967.68 : x
  2. Step 2: Convert to fraction form
    4,735.88/6,531.27 = 2,967.68/x
  3. Step 3: Cross multiply
    4,735.88x = 6,531.27 × 2,967.68
  4. Step 4: Simplify right side
    4,735.88x = 19,382,719.35
  5. Step 5: Solve for x
    x = 19,382,719.35/4,735.88
  6. Step 6: Final answer
    x = 4,092.74

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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.