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Finding the Fourth Proportional to 3,785.63, 5,224.64 and 2,294.06

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Solution

The fourth proportional to 3,785.63, 5,224.64 and 2,294.06 is: 3,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.63 : 5,224.64 = 2,294.06 : x
  2. Step 2: Convert to fraction form
    3,785.63/5,224.64 = 2,294.06/x
  3. Step 3: Cross multiply
    3,785.63x = 5,224.64 × 2,294.06
  4. Step 4: Simplify right side
    3,785.63x = 11,985,600.04
  5. Step 5: Solve for x
    x = 11,985,600.04/3,785.63
  6. Step 6: Final answer
    x = 3,166.08

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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.