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Finding the Fourth Proportional to 4,291.87, 5,922.82 and 2,523.50

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Solution

The fourth proportional to 4,291.87, 5,922.82 and 2,523.50 is: 3,482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.87 : 5,922.82 = 2,523.50 : x
  2. Step 2: Convert to fraction form
    4,291.87/5,922.82 = 2,523.50/x
  3. Step 3: Cross multiply
    4,291.87x = 5,922.82 × 2,523.50
  4. Step 4: Simplify right side
    4,291.87x = 14,946,236.27
  5. Step 5: Solve for x
    x = 14,946,236.27/4,291.87
  6. Step 6: Final answer
    x = 3,482.45

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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.