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Finding the Fourth Proportional to 5,056.53, 6,978.93 and 3,266.22

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Solution

The fourth proportional to 5,056.53, 6,978.93 and 3,266.22 is: 4,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.53 : 6,978.93 = 3,266.22 : x
  2. Step 2: Convert to fraction form
    5,056.53/6,978.93 = 3,266.22/x
  3. Step 3: Cross multiply
    5,056.53x = 6,978.93 × 3,266.22
  4. Step 4: Simplify right side
    5,056.53x = 22,794,734.67
  5. Step 5: Solve for x
    x = 22,794,734.67/5,056.53
  6. Step 6: Final answer
    x = 4,507.98

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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.