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Finding the Fourth Proportional to 3,548, 4,896.94 and 2,056.24

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Solution

The fourth proportional to 3,548, 4,896.94 and 2,056.24 is: 2,838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548 : 4,896.94 = 2,056.24 : x
  2. Step 2: Convert to fraction form
    3,548/4,896.94 = 2,056.24/x
  3. Step 3: Cross multiply
    3,548x = 4,896.94 × 2,056.24
  4. Step 4: Simplify right side
    3,548x = 10,069,283.91
  5. Step 5: Solve for x
    x = 10,069,283.91/3,548
  6. Step 6: Final answer
    x = 2,838.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.