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Finding the Fourth Proportional to 5,187.42, 7,156.02 and 3,418.38

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Solution

The fourth proportional to 5,187.42, 7,156.02 and 3,418.38 is: 4,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.42 : 7,156.02 = 3,418.38 : x
  2. Step 2: Convert to fraction form
    5,187.42/7,156.02 = 3,418.38/x
  3. Step 3: Cross multiply
    5,187.42x = 7,156.02 × 3,418.38
  4. Step 4: Simplify right side
    5,187.42x = 24,461,995.65
  5. Step 5: Solve for x
    x = 24,461,995.65/5,187.42
  6. Step 6: Final answer
    x = 4,715.64

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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.