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Finding the Fourth Proportional to 3,499.84, 5,242.24 and 2,184

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Solution

The fourth proportional to 3,499.84, 5,242.24 and 2,184 is: 3,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.84 : 5,242.24 = 2,184 : x
  2. Step 2: Convert to fraction form
    3,499.84/5,242.24 = 2,184/x
  3. Step 3: Cross multiply
    3,499.84x = 5,242.24 × 2,184
  4. Step 4: Simplify right side
    3,499.84x = 11,449,052.16
  5. Step 5: Solve for x
    x = 11,449,052.16/3,499.84
  6. Step 6: Final answer
    x = 3,271.31

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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.