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Finding the Fourth Proportional to 5,597.14, 8,395.14 and 1,899.28

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Solution

The fourth proportional to 5,597.14, 8,395.14 and 1,899.28 is: 2,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.14 : 8,395.14 = 1,899.28 : x
  2. Step 2: Convert to fraction form
    5,597.14/8,395.14 = 1,899.28/x
  3. Step 3: Cross multiply
    5,597.14x = 8,395.14 × 1,899.28
  4. Step 4: Simplify right side
    5,597.14x = 15,944,721.50
  5. Step 5: Solve for x
    x = 15,944,721.50/5,597.14
  6. Step 6: Final answer
    x = 2,848.73

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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.