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Finding the Fourth Proportional to 5,582.74, 7,704 and 3,064.78

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Solution

The fourth proportional to 5,582.74, 7,704 and 3,064.78 is: 4,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.74 : 7,704 = 3,064.78 : x
  2. Step 2: Convert to fraction form
    5,582.74/7,704 = 3,064.78/x
  3. Step 3: Cross multiply
    5,582.74x = 7,704 × 3,064.78
  4. Step 4: Simplify right side
    5,582.74x = 23,611,065.12
  5. Step 5: Solve for x
    x = 23,611,065.12/5,582.74
  6. Step 6: Final answer
    x = 4,229.30

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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.