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Finding the Fourth Proportional to 5,114.66, 7,055.85 and 3,225.38

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Solution

The fourth proportional to 5,114.66, 7,055.85 and 3,225.38 is: 4,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.66 : 7,055.85 = 3,225.38 : x
  2. Step 2: Convert to fraction form
    5,114.66/7,055.85 = 3,225.38/x
  3. Step 3: Cross multiply
    5,114.66x = 7,055.85 × 3,225.38
  4. Step 4: Simplify right side
    5,114.66x = 22,757,797.47
  5. Step 5: Solve for x
    x = 22,757,797.47/5,114.66
  6. Step 6: Final answer
    x = 4,449.52

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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.