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Finding the Fourth Proportional to 5,733.48, 7,902.16 and 4,934.82

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Solution

The fourth proportional to 5,733.48, 7,902.16 and 4,934.82 is: 6,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.48 : 7,902.16 = 4,934.82 : x
  2. Step 2: Convert to fraction form
    5,733.48/7,902.16 = 4,934.82/x
  3. Step 3: Cross multiply
    5,733.48x = 7,902.16 × 4,934.82
  4. Step 4: Simplify right side
    5,733.48x = 38,995,754.51
  5. Step 5: Solve for x
    x = 38,995,754.51/5,733.48
  6. Step 6: Final answer
    x = 6,801.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.