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Finding the Fourth Proportional to 5,827.95, 8,041.28 and 3,469.64

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Solution

The fourth proportional to 5,827.95, 8,041.28 and 3,469.64 is: 4,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.95 : 8,041.28 = 3,469.64 : x
  2. Step 2: Convert to fraction form
    5,827.95/8,041.28 = 3,469.64/x
  3. Step 3: Cross multiply
    5,827.95x = 8,041.28 × 3,469.64
  4. Step 4: Simplify right side
    5,827.95x = 27,900,289.18
  5. Step 5: Solve for x
    x = 27,900,289.18/5,827.95
  6. Step 6: Final answer
    x = 4,787.32

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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.