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Finding the Fourth Proportional to 4,781.87, 6,598.98 and 2,686

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Solution

The fourth proportional to 4,781.87, 6,598.98 and 2,686 is: 3,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.87 : 6,598.98 = 2,686 : x
  2. Step 2: Convert to fraction form
    4,781.87/6,598.98 = 2,686/x
  3. Step 3: Cross multiply
    4,781.87x = 6,598.98 × 2,686
  4. Step 4: Simplify right side
    4,781.87x = 17,724,860.28
  5. Step 5: Solve for x
    x = 17,724,860.28/4,781.87
  6. Step 6: Final answer
    x = 3,706.68

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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.