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Finding the Fourth Proportional to 3,554.66, 4,906.50 and 2,159.84

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Solution

The fourth proportional to 3,554.66, 4,906.50 and 2,159.84 is: 2,981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554.66 : 4,906.50 = 2,159.84 : x
  2. Step 2: Convert to fraction form
    3,554.66/4,906.50 = 2,159.84/x
  3. Step 3: Cross multiply
    3,554.66x = 4,906.50 × 2,159.84
  4. Step 4: Simplify right side
    3,554.66x = 10,597,254.96
  5. Step 5: Solve for x
    x = 10,597,254.96/3,554.66
  6. Step 6: Final answer
    x = 2,981.23

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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.