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Finding the Fourth Proportional to 3,486.86, 4,812.78 and 2,159.81

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Solution

The fourth proportional to 3,486.86, 4,812.78 and 2,159.81 is: 2,981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.86 : 4,812.78 = 2,159.81 : x
  2. Step 2: Convert to fraction form
    3,486.86/4,812.78 = 2,159.81/x
  3. Step 3: Cross multiply
    3,486.86x = 4,812.78 × 2,159.81
  4. Step 4: Simplify right side
    3,486.86x = 10,394,690.37
  5. Step 5: Solve for x
    x = 10,394,690.37/3,486.86
  6. Step 6: Final answer
    x = 2,981.10

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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.