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Finding the Fourth Proportional to 5,141.42, 7,095.22 and 2,903.38

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Solution

The fourth proportional to 5,141.42, 7,095.22 and 2,903.38 is: 4,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.42 : 7,095.22 = 2,903.38 : x
  2. Step 2: Convert to fraction form
    5,141.42/7,095.22 = 2,903.38/x
  3. Step 3: Cross multiply
    5,141.42x = 7,095.22 × 2,903.38
  4. Step 4: Simplify right side
    5,141.42x = 20,600,119.84
  5. Step 5: Solve for x
    x = 20,600,119.84/5,141.42
  6. Step 6: Final answer
    x = 4,006.70

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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.