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Finding the Fourth Proportional to 3,785.55, 5,678.94 and 1,706.28

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Solution

The fourth proportional to 3,785.55, 5,678.94 and 1,706.28 is: 2,559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.55 : 5,678.94 = 1,706.28 : x
  2. Step 2: Convert to fraction form
    3,785.55/5,678.94 = 1,706.28/x
  3. Step 3: Cross multiply
    3,785.55x = 5,678.94 × 1,706.28
  4. Step 4: Simplify right side
    3,785.55x = 9,689,861.74
  5. Step 5: Solve for x
    x = 9,689,861.74/3,785.55
  6. Step 6: Final answer
    x = 2,559.70

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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.