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Finding the Fourth Proportional to 3,491.30, 5,237.00 and 894.17

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Solution

The fourth proportional to 3,491.30, 5,237.00 and 894.17 is: 1,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.30 : 5,237.00 = 894.17 : x
  2. Step 2: Convert to fraction form
    3,491.30/5,237.00 = 894.17/x
  3. Step 3: Cross multiply
    3,491.30x = 5,237.00 × 894.17
  4. Step 4: Simplify right side
    3,491.30x = 4,682,763.82
  5. Step 5: Solve for x
    x = 4,682,763.82/3,491.30
  6. Step 6: Final answer
    x = 1,341.27

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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.