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Finding the Fourth Proportional to 4,782.06, 6,599.07 and 2,686.14

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Solution

The fourth proportional to 4,782.06, 6,599.07 and 2,686.14 is: 3,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.06 : 6,599.07 = 2,686.14 : x
  2. Step 2: Convert to fraction form
    4,782.06/6,599.07 = 2,686.14/x
  3. Step 3: Cross multiply
    4,782.06x = 6,599.07 × 2,686.14
  4. Step 4: Simplify right side
    4,782.06x = 17,726,025.89
  5. Step 5: Solve for x
    x = 17,726,025.89/4,782.06
  6. Step 6: Final answer
    x = 3,706.78

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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.