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Finding the Fourth Proportional to 5,047.57, 6,960.58 and 4,290.47

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Solution

The fourth proportional to 5,047.57, 6,960.58 and 4,290.47 is: 5,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.57 : 6,960.58 = 4,290.47 : x
  2. Step 2: Convert to fraction form
    5,047.57/6,960.58 = 4,290.47/x
  3. Step 3: Cross multiply
    5,047.57x = 6,960.58 × 4,290.47
  4. Step 4: Simplify right side
    5,047.57x = 29,864,164.38
  5. Step 5: Solve for x
    x = 29,864,164.38/5,047.57
  6. Step 6: Final answer
    x = 5,916.55

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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.