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Finding the Fourth Proportional to 4,916.32, 6,778.56 and 4,284.56

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Solution

The fourth proportional to 4,916.32, 6,778.56 and 4,284.56 is: 5,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.32 : 6,778.56 = 4,284.56 : x
  2. Step 2: Convert to fraction form
    4,916.32/6,778.56 = 4,284.56/x
  3. Step 3: Cross multiply
    4,916.32x = 6,778.56 × 4,284.56
  4. Step 4: Simplify right side
    4,916.32x = 29,043,147.03
  5. Step 5: Solve for x
    x = 29,043,147.03/4,916.32
  6. Step 6: Final answer
    x = 5,907.50

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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.