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Finding the Fourth Proportional to 5,690.16, 8,534.28 and 1,794

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Solution

The fourth proportional to 5,690.16, 8,534.28 and 1,794 is: 2,690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.16 : 8,534.28 = 1,794 : x
  2. Step 2: Convert to fraction form
    5,690.16/8,534.28 = 1,794/x
  3. Step 3: Cross multiply
    5,690.16x = 8,534.28 × 1,794
  4. Step 4: Simplify right side
    5,690.16x = 15,310,498.32
  5. Step 5: Solve for x
    x = 15,310,498.32/5,690.16
  6. Step 6: Final answer
    x = 2,690.70

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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.