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Finding the Fourth Proportional to 3,686.40, 5,083.74 and 2,845.77

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Solution

The fourth proportional to 3,686.40, 5,083.74 and 2,845.77 is: 3,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.40 : 5,083.74 = 2,845.77 : x
  2. Step 2: Convert to fraction form
    3,686.40/5,083.74 = 2,845.77/x
  3. Step 3: Cross multiply
    3,686.40x = 5,083.74 × 2,845.77
  4. Step 4: Simplify right side
    3,686.40x = 14,467,154.78
  5. Step 5: Solve for x
    x = 14,467,154.78/3,686.40
  6. Step 6: Final answer
    x = 3,924.47

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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.