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Finding the Fourth Proportional to 3,677.67, 5,485.46 and 3,085.74

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Solution

The fourth proportional to 3,677.67, 5,485.46 and 3,085.74 is: 4,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.67 : 5,485.46 = 3,085.74 : x
  2. Step 2: Convert to fraction form
    3,677.67/5,485.46 = 3,085.74/x
  3. Step 3: Cross multiply
    3,677.67x = 5,485.46 × 3,085.74
  4. Step 4: Simplify right side
    3,677.67x = 16,926,687.91
  5. Step 5: Solve for x
    x = 16,926,687.91/3,677.67
  6. Step 6: Final answer
    x = 4,602.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.