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Finding the Fourth Proportional to 4,755.82, 6,564.84 and 4,257.58

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Solution

The fourth proportional to 4,755.82, 6,564.84 and 4,257.58 is: 5,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.82 : 6,564.84 = 4,257.58 : x
  2. Step 2: Convert to fraction form
    4,755.82/6,564.84 = 4,257.58/x
  3. Step 3: Cross multiply
    4,755.82x = 6,564.84 × 4,257.58
  4. Step 4: Simplify right side
    4,755.82x = 27,950,331.49
  5. Step 5: Solve for x
    x = 27,950,331.49/4,755.82
  6. Step 6: Final answer
    x = 5,877.08

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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.