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Finding the Fourth Proportional to 5,647.56, 8,474.04 and 2,184

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Solution

The fourth proportional to 5,647.56, 8,474.04 and 2,184 is: 3,277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.56 : 8,474.04 = 2,184 : x
  2. Step 2: Convert to fraction form
    5,647.56/8,474.04 = 2,184/x
  3. Step 3: Cross multiply
    5,647.56x = 8,474.04 × 2,184
  4. Step 4: Simplify right side
    5,647.56x = 18,507,303.36
  5. Step 5: Solve for x
    x = 18,507,303.36/5,647.56
  6. Step 6: Final answer
    x = 3,277.04

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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.