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Finding the Fourth Proportional to 5,120.38, 7,094.66 and 5,009.66

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Solution

The fourth proportional to 5,120.38, 7,094.66 and 5,009.66 is: 6,941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.38 : 7,094.66 = 5,009.66 : x
  2. Step 2: Convert to fraction form
    5,120.38/7,094.66 = 5,009.66/x
  3. Step 3: Cross multiply
    5,120.38x = 7,094.66 × 5,009.66
  4. Step 4: Simplify right side
    5,120.38x = 35,541,834.42
  5. Step 5: Solve for x
    x = 35,541,834.42/5,120.38
  6. Step 6: Final answer
    x = 6,941.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.