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Finding the Fourth Proportional to 3,806.51, 5,705.88 and 2,159.58

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Solution

The fourth proportional to 3,806.51, 5,705.88 and 2,159.58 is: 3,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.51 : 5,705.88 = 2,159.58 : x
  2. Step 2: Convert to fraction form
    3,806.51/5,705.88 = 2,159.58/x
  3. Step 3: Cross multiply
    3,806.51x = 5,705.88 × 2,159.58
  4. Step 4: Simplify right side
    3,806.51x = 12,322,285.53
  5. Step 5: Solve for x
    x = 12,322,285.53/3,806.51
  6. Step 6: Final answer
    x = 3,237.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.