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Finding the Fourth Proportional to 4,901.64, 6,763.86 and 2,912.68

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Solution

The fourth proportional to 4,901.64, 6,763.86 and 2,912.68 is: 4,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.64 : 6,763.86 = 2,912.68 : x
  2. Step 2: Convert to fraction form
    4,901.64/6,763.86 = 2,912.68/x
  3. Step 3: Cross multiply
    4,901.64x = 6,763.86 × 2,912.68
  4. Step 4: Simplify right side
    4,901.64x = 19,700,959.74
  5. Step 5: Solve for x
    x = 19,700,959.74/4,901.64
  6. Step 6: Final answer
    x = 4,019.26

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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.