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Finding the Fourth Proportional to 3,652.36, 5,477.73 and 1,460.50

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Solution

The fourth proportional to 3,652.36, 5,477.73 and 1,460.50 is: 2,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.36 : 5,477.73 = 1,460.50 : x
  2. Step 2: Convert to fraction form
    3,652.36/5,477.73 = 1,460.50/x
  3. Step 3: Cross multiply
    3,652.36x = 5,477.73 × 1,460.50
  4. Step 4: Simplify right side
    3,652.36x = 8,000,205.49
  5. Step 5: Solve for x
    x = 8,000,205.49/3,652.36
  6. Step 6: Final answer
    x = 2,190.42

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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.