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Finding the Fourth Proportional to 4,237, 5,847.30 and 2,374.12

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Solution

The fourth proportional to 4,237, 5,847.30 and 2,374.12 is: 3,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237 : 5,847.30 = 2,374.12 : x
  2. Step 2: Convert to fraction form
    4,237/5,847.30 = 2,374.12/x
  3. Step 3: Cross multiply
    4,237x = 5,847.30 × 2,374.12
  4. Step 4: Simplify right side
    4,237x = 13,882,191.88
  5. Step 5: Solve for x
    x = 13,882,191.88/4,237
  6. Step 6: Final answer
    x = 3,276.42

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1.5x scale

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.