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Finding the Fourth Proportional to 5,921.64, 8,163 and 4,970.25

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Solution

The fourth proportional to 5,921.64, 8,163 and 4,970.25 is: 6,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.64 : 8,163 = 4,970.25 : x
  2. Step 2: Convert to fraction form
    5,921.64/8,163 = 4,970.25/x
  3. Step 3: Cross multiply
    5,921.64x = 8,163 × 4,970.25
  4. Step 4: Simplify right side
    5,921.64x = 40,572,150.75
  5. Step 5: Solve for x
    x = 40,572,150.75/5,921.64
  6. Step 6: Final answer
    x = 6,851.51

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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.