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Finding the Fourth Proportional to 5,934.16, 8,892 and 5,314.48

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Solution

The fourth proportional to 5,934.16, 8,892 and 5,314.48 is: 7,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.16 : 8,892 = 5,314.48 : x
  2. Step 2: Convert to fraction form
    5,934.16/8,892 = 5,314.48/x
  3. Step 3: Cross multiply
    5,934.16x = 8,892 × 5,314.48
  4. Step 4: Simplify right side
    5,934.16x = 47,256,356.16
  5. Step 5: Solve for x
    x = 47,256,356.16/5,934.16
  6. Step 6: Final answer
    x = 7,963.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.