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Finding the Fourth Proportional to 4,916.64, 6,784.92 and 2,820.78

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Solution

The fourth proportional to 4,916.64, 6,784.92 and 2,820.78 is: 3,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.64 : 6,784.92 = 2,820.78 : x
  2. Step 2: Convert to fraction form
    4,916.64/6,784.92 = 2,820.78/x
  3. Step 3: Cross multiply
    4,916.64x = 6,784.92 × 2,820.78
  4. Step 4: Simplify right side
    4,916.64x = 19,138,766.64
  5. Step 5: Solve for x
    x = 19,138,766.64/4,916.64
  6. Step 6: Final answer
    x = 3,892.65

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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.