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Finding the Fourth Proportional to 4,903.12, 6,764.06 and 3,705.94

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Solution

The fourth proportional to 4,903.12, 6,764.06 and 3,705.94 is: 5,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.12 : 6,764.06 = 3,705.94 : x
  2. Step 2: Convert to fraction form
    4,903.12/6,764.06 = 3,705.94/x
  3. Step 3: Cross multiply
    4,903.12x = 6,764.06 × 3,705.94
  4. Step 4: Simplify right side
    4,903.12x = 25,067,200.52
  5. Step 5: Solve for x
    x = 25,067,200.52/4,903.12
  6. Step 6: Final answer
    x = 5,112.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.