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Finding the Fourth Proportional to 4,706.76, 7,054.60 and 1,932.06

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Solution

The fourth proportional to 4,706.76, 7,054.60 and 1,932.06 is: 2,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.76 : 7,054.60 = 1,932.06 : x
  2. Step 2: Convert to fraction form
    4,706.76/7,054.60 = 1,932.06/x
  3. Step 3: Cross multiply
    4,706.76x = 7,054.60 × 1,932.06
  4. Step 4: Simplify right side
    4,706.76x = 13,629,910.48
  5. Step 5: Solve for x
    x = 13,629,910.48/4,706.76
  6. Step 6: Final answer
    x = 2,895.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.