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Finding the Fourth Proportional to 3,415.59, 5,096.58 and 3,206.61

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Solution

The fourth proportional to 3,415.59, 5,096.58 and 3,206.61 is: 4,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.59 : 5,096.58 = 3,206.61 : x
  2. Step 2: Convert to fraction form
    3,415.59/5,096.58 = 3,206.61/x
  3. Step 3: Cross multiply
    3,415.59x = 5,096.58 × 3,206.61
  4. Step 4: Simplify right side
    3,415.59x = 16,342,744.39
  5. Step 5: Solve for x
    x = 16,342,744.39/3,415.59
  6. Step 6: Final answer
    x = 4,784.75

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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.