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Finding the Fourth Proportional to 4,706.80, 6,493.53 and 3,290.11

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Solution

The fourth proportional to 4,706.80, 6,493.53 and 3,290.11 is: 4,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.80 : 6,493.53 = 3,290.11 : x
  2. Step 2: Convert to fraction form
    4,706.80/6,493.53 = 3,290.11/x
  3. Step 3: Cross multiply
    4,706.80x = 6,493.53 × 3,290.11
  4. Step 4: Simplify right side
    4,706.80x = 21,364,424.09
  5. Step 5: Solve for x
    x = 21,364,424.09/4,706.80
  6. Step 6: Final answer
    x = 4,539.06

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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.