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Finding the Fourth Proportional to 5,002.53, 7,496.74 and 3,827.98

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Solution

The fourth proportional to 5,002.53, 7,496.74 and 3,827.98 is: 5,736.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.53 : 7,496.74 = 3,827.98 : x
  2. Step 2: Convert to fraction form
    5,002.53/7,496.74 = 3,827.98/x
  3. Step 3: Cross multiply
    5,002.53x = 7,496.74 × 3,827.98
  4. Step 4: Simplify right side
    5,002.53x = 28,697,370.79
  5. Step 5: Solve for x
    x = 28,697,370.79/5,002.53
  6. Step 6: Final answer
    x = 5,736.57

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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.