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Finding the Fourth Proportional to 3,671.07, 5,506.49 and 897.76

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Solution

The fourth proportional to 3,671.07, 5,506.49 and 897.76 is: 1,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.07 : 5,506.49 = 897.76 : x
  2. Step 2: Convert to fraction form
    3,671.07/5,506.49 = 897.76/x
  3. Step 3: Cross multiply
    3,671.07x = 5,506.49 × 897.76
  4. Step 4: Simplify right side
    3,671.07x = 4,943,506.46
  5. Step 5: Solve for x
    x = 4,943,506.46/3,671.07
  6. Step 6: Final answer
    x = 1,346.61

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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.