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Finding the Fourth Proportional to 3,606.70, 5,408.97 and 1,417

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Solution

The fourth proportional to 3,606.70, 5,408.97 and 1,417 is: 2,125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.70 : 5,408.97 = 1,417 : x
  2. Step 2: Convert to fraction form
    3,606.70/5,408.97 = 1,417/x
  3. Step 3: Cross multiply
    3,606.70x = 5,408.97 × 1,417
  4. Step 4: Simplify right side
    3,606.70x = 7,664,510.49
  5. Step 5: Solve for x
    x = 7,664,510.49/3,606.70
  6. Step 6: Final answer
    x = 2,125.08

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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.