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Finding the Fourth Proportional to 5,793, 7,995.36 and 3,435.30

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Solution

The fourth proportional to 5,793, 7,995.36 and 3,435.30 is: 4,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793 : 7,995.36 = 3,435.30 : x
  2. Step 2: Convert to fraction form
    5,793/7,995.36 = 3,435.30/x
  3. Step 3: Cross multiply
    5,793x = 7,995.36 × 3,435.30
  4. Step 4: Simplify right side
    5,793x = 27,466,460.21
  5. Step 5: Solve for x
    x = 27,466,460.21/5,793
  6. Step 6: Final answer
    x = 4,741.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.