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Finding the Fourth Proportional to 6,278.26, 8,664 and 3,483.76

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Solution

The fourth proportional to 6,278.26, 8,664 and 3,483.76 is: 4,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.26 : 8,664 = 3,483.76 : x
  2. Step 2: Convert to fraction form
    6,278.26/8,664 = 3,483.76/x
  3. Step 3: Cross multiply
    6,278.26x = 8,664 × 3,483.76
  4. Step 4: Simplify right side
    6,278.26x = 30,183,296.64
  5. Step 5: Solve for x
    x = 30,183,296.64/6,278.26
  6. Step 6: Final answer
    x = 4,807.59

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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.