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Finding the Fourth Proportional to 3,004.75, 4,506.39 and 895.96

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Solution

The fourth proportional to 3,004.75, 4,506.39 and 895.96 is: 1,343.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.75 : 4,506.39 = 895.96 : x
  2. Step 2: Convert to fraction form
    3,004.75/4,506.39 = 895.96/x
  3. Step 3: Cross multiply
    3,004.75x = 4,506.39 × 895.96
  4. Step 4: Simplify right side
    3,004.75x = 4,037,545.18
  5. Step 5: Solve for x
    x = 4,037,545.18/3,004.75
  6. Step 6: Final answer
    x = 1,343.72

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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.