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Finding the Fourth Proportional to 3,483.14, 4,806.84 and 1,911.32

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Solution

The fourth proportional to 3,483.14, 4,806.84 and 1,911.32 is: 2,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.14 : 4,806.84 = 1,911.32 : x
  2. Step 2: Convert to fraction form
    3,483.14/4,806.84 = 1,911.32/x
  3. Step 3: Cross multiply
    3,483.14x = 4,806.84 × 1,911.32
  4. Step 4: Simplify right side
    3,483.14x = 9,187,409.43
  5. Step 5: Solve for x
    x = 9,187,409.43/3,483.14
  6. Step 6: Final answer
    x = 2,637.68

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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.