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Finding the Fourth Proportional to 5,698.16, 8,548.44 and 1,802

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Solution

The fourth proportional to 5,698.16, 8,548.44 and 1,802 is: 2,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.16 : 8,548.44 = 1,802 : x
  2. Step 2: Convert to fraction form
    5,698.16/8,548.44 = 1,802/x
  3. Step 3: Cross multiply
    5,698.16x = 8,548.44 × 1,802
  4. Step 4: Simplify right side
    5,698.16x = 15,404,288.88
  5. Step 5: Solve for x
    x = 15,404,288.88/5,698.16
  6. Step 6: Final answer
    x = 2,703.38

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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.