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Finding the Fourth Proportional to 5,847.44, 8,066.76 and 3,362

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Solution

The fourth proportional to 5,847.44, 8,066.76 and 3,362 is: 4,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.44 : 8,066.76 = 3,362 : x
  2. Step 2: Convert to fraction form
    5,847.44/8,066.76 = 3,362/x
  3. Step 3: Cross multiply
    5,847.44x = 8,066.76 × 3,362
  4. Step 4: Simplify right side
    5,847.44x = 27,120,447.12
  5. Step 5: Solve for x
    x = 27,120,447.12/5,847.44
  6. Step 6: Final answer
    x = 4,638.00

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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.