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Finding the Fourth Proportional to 5,648, 8,477.40 and 2,360.22

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Solution

The fourth proportional to 5,648, 8,477.40 and 2,360.22 is: 3,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648 : 8,477.40 = 2,360.22 : x
  2. Step 2: Convert to fraction form
    5,648/8,477.40 = 2,360.22/x
  3. Step 3: Cross multiply
    5,648x = 8,477.40 × 2,360.22
  4. Step 4: Simplify right side
    5,648x = 20,008,529.03
  5. Step 5: Solve for x
    x = 20,008,529.03/5,648
  6. Step 6: Final answer
    x = 3,542.59

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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.