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Finding the Fourth Proportional to 4,546.88, 6,279.20 and 4,288.32

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Solution

The fourth proportional to 4,546.88, 6,279.20 and 4,288.32 is: 5,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.88 : 6,279.20 = 4,288.32 : x
  2. Step 2: Convert to fraction form
    4,546.88/6,279.20 = 4,288.32/x
  3. Step 3: Cross multiply
    4,546.88x = 6,279.20 × 4,288.32
  4. Step 4: Simplify right side
    4,546.88x = 26,927,218.94
  5. Step 5: Solve for x
    x = 26,927,218.94/4,546.88
  6. Step 6: Final answer
    x = 5,922.13

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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.