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Finding the Fourth Proportional to 5,754.78, 8,633.98 and 2,056.93

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Solution

The fourth proportional to 5,754.78, 8,633.98 and 2,056.93 is: 3,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.78 : 8,633.98 = 2,056.93 : x
  2. Step 2: Convert to fraction form
    5,754.78/8,633.98 = 2,056.93/x
  3. Step 3: Cross multiply
    5,754.78x = 8,633.98 × 2,056.93
  4. Step 4: Simplify right side
    5,754.78x = 17,759,492.48
  5. Step 5: Solve for x
    x = 17,759,492.48/5,754.78
  6. Step 6: Final answer
    x = 3,086.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.