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Finding the Fourth Proportional to 3,283.51, 4,530.15 and 2,105.27

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Solution

The fourth proportional to 3,283.51, 4,530.15 and 2,105.27 is: 2,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.51 : 4,530.15 = 2,105.27 : x
  2. Step 2: Convert to fraction form
    3,283.51/4,530.15 = 2,105.27/x
  3. Step 3: Cross multiply
    3,283.51x = 4,530.15 × 2,105.27
  4. Step 4: Simplify right side
    3,283.51x = 9,537,188.89
  5. Step 5: Solve for x
    x = 9,537,188.89/3,283.51
  6. Step 6: Final answer
    x = 2,904.57

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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.