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Finding the Fourth Proportional to 4,214.42, 5,815.95 and 2,351.42

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Solution

The fourth proportional to 4,214.42, 5,815.95 and 2,351.42 is: 3,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.42 : 5,815.95 = 2,351.42 : x
  2. Step 2: Convert to fraction form
    4,214.42/5,815.95 = 2,351.42/x
  3. Step 3: Cross multiply
    4,214.42x = 5,815.95 × 2,351.42
  4. Step 4: Simplify right side
    4,214.42x = 13,675,741.15
  5. Step 5: Solve for x
    x = 13,675,741.15/4,214.42
  6. Step 6: Final answer
    x = 3,244.99

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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.