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Finding the Fourth Proportional to 5,738.58, 7,917.32 and 3,348

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Solution

The fourth proportional to 5,738.58, 7,917.32 and 3,348 is: 4,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.58 : 7,917.32 = 3,348 : x
  2. Step 2: Convert to fraction form
    5,738.58/7,917.32 = 3,348/x
  3. Step 3: Cross multiply
    5,738.58x = 7,917.32 × 3,348
  4. Step 4: Simplify right side
    5,738.58x = 26,507,187.36
  5. Step 5: Solve for x
    x = 26,507,187.36/5,738.58
  6. Step 6: Final answer
    x = 4,619.12

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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.