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Finding the Fourth Proportional to 4,858.48, 6,702.24 and 3,182.69

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Solution

The fourth proportional to 4,858.48, 6,702.24 and 3,182.69 is: 4,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.48 : 6,702.24 = 3,182.69 : x
  2. Step 2: Convert to fraction form
    4,858.48/6,702.24 = 3,182.69/x
  3. Step 3: Cross multiply
    4,858.48x = 6,702.24 × 3,182.69
  4. Step 4: Simplify right side
    4,858.48x = 21,331,180.92
  5. Step 5: Solve for x
    x = 21,331,180.92/4,858.48
  6. Step 6: Final answer
    x = 4,390.50

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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.