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Finding the Fourth Proportional to 6,454.38, 8,896.68 and 4,858.68

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Solution

The fourth proportional to 6,454.38, 8,896.68 and 4,858.68 is: 6,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.38 : 8,896.68 = 4,858.68 : x
  2. Step 2: Convert to fraction form
    6,454.38/8,896.68 = 4,858.68/x
  3. Step 3: Cross multiply
    6,454.38x = 8,896.68 × 4,858.68
  4. Step 4: Simplify right side
    6,454.38x = 43,226,121.18
  5. Step 5: Solve for x
    x = 43,226,121.18/6,454.38
  6. Step 6: Final answer
    x = 6,697.18

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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.