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Finding the Fourth Proportional to 3,894.24, 5,840.94 and 1,555.22

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Solution

The fourth proportional to 3,894.24, 5,840.94 and 1,555.22 is: 2,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.24 : 5,840.94 = 1,555.22 : x
  2. Step 2: Convert to fraction form
    3,894.24/5,840.94 = 1,555.22/x
  3. Step 3: Cross multiply
    3,894.24x = 5,840.94 × 1,555.22
  4. Step 4: Simplify right side
    3,894.24x = 9,083,946.71
  5. Step 5: Solve for x
    x = 9,083,946.71/3,894.24
  6. Step 6: Final answer
    x = 2,332.66

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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.