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Finding the Fourth Proportional to 5,416.78, 7,475.16 and 2,932.78

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Solution

The fourth proportional to 5,416.78, 7,475.16 and 2,932.78 is: 4,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.78 : 7,475.16 = 2,932.78 : x
  2. Step 2: Convert to fraction form
    5,416.78/7,475.16 = 2,932.78/x
  3. Step 3: Cross multiply
    5,416.78x = 7,475.16 × 2,932.78
  4. Step 4: Simplify right side
    5,416.78x = 21,922,999.74
  5. Step 5: Solve for x
    x = 21,922,999.74/5,416.78
  6. Step 6: Final answer
    x = 4,047.24

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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.