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Finding the Fourth Proportional to 5,286.36, 7,937.74 and 5,052.60

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Solution

The fourth proportional to 5,286.36, 7,937.74 and 5,052.60 is: 7,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.36 : 7,937.74 = 5,052.60 : x
  2. Step 2: Convert to fraction form
    5,286.36/7,937.74 = 5,052.60/x
  3. Step 3: Cross multiply
    5,286.36x = 7,937.74 × 5,052.60
  4. Step 4: Simplify right side
    5,286.36x = 40,106,225.12
  5. Step 5: Solve for x
    x = 40,106,225.12/5,286.36
  6. Step 6: Final answer
    x = 7,586.74

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1.5x scale

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.