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Finding the Fourth Proportional to 3,548.66, 4,897.18 and 2,056.94

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Solution

The fourth proportional to 3,548.66, 4,897.18 and 2,056.94 is: 2,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.66 : 4,897.18 = 2,056.94 : x
  2. Step 2: Convert to fraction form
    3,548.66/4,897.18 = 2,056.94/x
  3. Step 3: Cross multiply
    3,548.66x = 4,897.18 × 2,056.94
  4. Step 4: Simplify right side
    3,548.66x = 10,073,205.43
  5. Step 5: Solve for x
    x = 10,073,205.43/3,548.66
  6. Step 6: Final answer
    x = 2,838.59

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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.