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Finding the Fourth Proportional to 5,574.92, 8,362.37 and 1,415.24

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Solution

The fourth proportional to 5,574.92, 8,362.37 and 1,415.24 is: 2,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.92 : 8,362.37 = 1,415.24 : x
  2. Step 2: Convert to fraction form
    5,574.92/8,362.37 = 1,415.24/x
  3. Step 3: Cross multiply
    5,574.92x = 8,362.37 × 1,415.24
  4. Step 4: Simplify right side
    5,574.92x = 11,834,711.63
  5. Step 5: Solve for x
    x = 11,834,711.63/5,574.92
  6. Step 6: Final answer
    x = 2,122.85

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Similar ratio
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1.5x scale

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.