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Finding the Fourth Proportional to 5,895.33, 8,134.74 and 4,703.28

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Solution

The fourth proportional to 5,895.33, 8,134.74 and 4,703.28 is: 6,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.33 : 8,134.74 = 4,703.28 : x
  2. Step 2: Convert to fraction form
    5,895.33/8,134.74 = 4,703.28/x
  3. Step 3: Cross multiply
    5,895.33x = 8,134.74 × 4,703.28
  4. Step 4: Simplify right side
    5,895.33x = 38,259,959.95
  5. Step 5: Solve for x
    x = 38,259,959.95/5,895.33
  6. Step 6: Final answer
    x = 6,489.88

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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.