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Finding the Fourth Proportional to 4,625.76, 6,883.44 and 4,467

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Solution

The fourth proportional to 4,625.76, 6,883.44 and 4,467 is: 6,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.76 : 6,883.44 = 4,467 : x
  2. Step 2: Convert to fraction form
    4,625.76/6,883.44 = 4,467/x
  3. Step 3: Cross multiply
    4,625.76x = 6,883.44 × 4,467
  4. Step 4: Simplify right side
    4,625.76x = 30,748,326.48
  5. Step 5: Solve for x
    x = 30,748,326.48/4,625.76
  6. Step 6: Final answer
    x = 6,647.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.