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Finding the Fourth Proportional to 4,907.06, 6,770.37 and 4,660.82

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Solution

The fourth proportional to 4,907.06, 6,770.37 and 4,660.82 is: 6,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.06 : 6,770.37 = 4,660.82 : x
  2. Step 2: Convert to fraction form
    4,907.06/6,770.37 = 4,660.82/x
  3. Step 3: Cross multiply
    4,907.06x = 6,770.37 × 4,660.82
  4. Step 4: Simplify right side
    4,907.06x = 31,555,475.90
  5. Step 5: Solve for x
    x = 31,555,475.90/4,907.06
  6. Step 6: Final answer
    x = 6,430.63

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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.