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Finding the Fourth Proportional to 4,906.32, 6,770.52 and 2,810.16

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Solution

The fourth proportional to 4,906.32, 6,770.52 and 2,810.16 is: 3,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.32 : 6,770.52 = 2,810.16 : x
  2. Step 2: Convert to fraction form
    4,906.32/6,770.52 = 2,810.16/x
  3. Step 3: Cross multiply
    4,906.32x = 6,770.52 × 2,810.16
  4. Step 4: Simplify right side
    4,906.32x = 19,026,244.48
  5. Step 5: Solve for x
    x = 19,026,244.48/4,906.32
  6. Step 6: Final answer
    x = 3,877.91

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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.