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Finding the Fourth Proportional to 3,686.42, 5,092.23 and 2,945.58

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Solution

The fourth proportional to 3,686.42, 5,092.23 and 2,945.58 is: 4,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.42 : 5,092.23 = 2,945.58 : x
  2. Step 2: Convert to fraction form
    3,686.42/5,092.23 = 2,945.58/x
  3. Step 3: Cross multiply
    3,686.42x = 5,092.23 × 2,945.58
  4. Step 4: Simplify right side
    3,686.42x = 14,999,570.84
  5. Step 5: Solve for x
    x = 14,999,570.84/3,686.42
  6. Step 6: Final answer
    x = 4,068.88

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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.