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Finding the Fourth Proportional to 4,854.09, 7,234.99 and 4,577.30

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Solution

The fourth proportional to 4,854.09, 7,234.99 and 4,577.30 is: 6,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.09 : 7,234.99 = 4,577.30 : x
  2. Step 2: Convert to fraction form
    4,854.09/7,234.99 = 4,577.30/x
  3. Step 3: Cross multiply
    4,854.09x = 7,234.99 × 4,577.30
  4. Step 4: Simplify right side
    4,854.09x = 33,116,719.73
  5. Step 5: Solve for x
    x = 33,116,719.73/4,854.09
  6. Step 6: Final answer
    x = 6,822.44

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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.