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Finding the Fourth Proportional to 3,491.47, 5,237.19 and 894.41

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Solution

The fourth proportional to 3,491.47, 5,237.19 and 894.41 is: 1,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.47 : 5,237.19 = 894.41 : x
  2. Step 2: Convert to fraction form
    3,491.47/5,237.19 = 894.41/x
  3. Step 3: Cross multiply
    3,491.47x = 5,237.19 × 894.41
  4. Step 4: Simplify right side
    3,491.47x = 4,684,195.11
  5. Step 5: Solve for x
    x = 4,684,195.11/3,491.47
  6. Step 6: Final answer
    x = 1,341.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.