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Finding the Fourth Proportional to 3,668.75, 5,503.11 and 895.40

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Solution

The fourth proportional to 3,668.75, 5,503.11 and 895.40 is: 1,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.75 : 5,503.11 = 895.40 : x
  2. Step 2: Convert to fraction form
    3,668.75/5,503.11 = 895.40/x
  3. Step 3: Cross multiply
    3,668.75x = 5,503.11 × 895.40
  4. Step 4: Simplify right side
    3,668.75x = 4,927,457.18
  5. Step 5: Solve for x
    x = 4,927,457.18/3,668.75
  6. Step 6: Final answer
    x = 1,343.09

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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.