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Finding the Fourth Proportional to 5,468.67, 7,547.31 and 3,111.57

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Solution

The fourth proportional to 5,468.67, 7,547.31 and 3,111.57 is: 4,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.67 : 7,547.31 = 3,111.57 : x
  2. Step 2: Convert to fraction form
    5,468.67/7,547.31 = 3,111.57/x
  3. Step 3: Cross multiply
    5,468.67x = 7,547.31 × 3,111.57
  4. Step 4: Simplify right side
    5,468.67x = 23,483,983.38
  5. Step 5: Solve for x
    x = 23,483,983.38/5,468.67
  6. Step 6: Final answer
    x = 4,294.28

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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.