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Finding the Fourth Proportional to 4,946.64, 6,825.96 and 2,822.16

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Solution

The fourth proportional to 4,946.64, 6,825.96 and 2,822.16 is: 3,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.64 : 6,825.96 = 2,822.16 : x
  2. Step 2: Convert to fraction form
    4,946.64/6,825.96 = 2,822.16/x
  3. Step 3: Cross multiply
    4,946.64x = 6,825.96 × 2,822.16
  4. Step 4: Simplify right side
    4,946.64x = 19,263,951.27
  5. Step 5: Solve for x
    x = 19,263,951.27/4,946.64
  6. Step 6: Final answer
    x = 3,894.35

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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.