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Finding the Fourth Proportional to 5,819.13, 8,662.88 and 5,784.53

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Solution

The fourth proportional to 5,819.13, 8,662.88 and 5,784.53 is: 8,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.13 : 8,662.88 = 5,784.53 : x
  2. Step 2: Convert to fraction form
    5,819.13/8,662.88 = 5,784.53/x
  3. Step 3: Cross multiply
    5,819.13x = 8,662.88 × 5,784.53
  4. Step 4: Simplify right side
    5,819.13x = 50,110,617.01
  5. Step 5: Solve for x
    x = 50,110,617.01/5,819.13
  6. Step 6: Final answer
    x = 8,611.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.