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Finding the Fourth Proportional to 5,494.62, 7,583.13 and 3,256.86

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Solution

The fourth proportional to 5,494.62, 7,583.13 and 3,256.86 is: 4,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.62 : 7,583.13 = 3,256.86 : x
  2. Step 2: Convert to fraction form
    5,494.62/7,583.13 = 3,256.86/x
  3. Step 3: Cross multiply
    5,494.62x = 7,583.13 × 3,256.86
  4. Step 4: Simplify right side
    5,494.62x = 24,697,192.77
  5. Step 5: Solve for x
    x = 24,697,192.77/5,494.62
  6. Step 6: Final answer
    x = 4,494.80

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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.