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Finding the Fourth Proportional to 4,848, 7,305 and 4,317.54

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Solution

The fourth proportional to 4,848, 7,305 and 4,317.54 is: 6,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848 : 7,305 = 4,317.54 : x
  2. Step 2: Convert to fraction form
    4,848/7,305 = 4,317.54/x
  3. Step 3: Cross multiply
    4,848x = 7,305 × 4,317.54
  4. Step 4: Simplify right side
    4,848x = 31,539,629.70
  5. Step 5: Solve for x
    x = 31,539,629.70/4,848
  6. Step 6: Final answer
    x = 6,505.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.