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Finding the Fourth Proportional to 5,788.56, 8,684.64 and 2,503.20

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Solution

The fourth proportional to 5,788.56, 8,684.64 and 2,503.20 is: 3,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.56 : 8,684.64 = 2,503.20 : x
  2. Step 2: Convert to fraction form
    5,788.56/8,684.64 = 2,503.20/x
  3. Step 3: Cross multiply
    5,788.56x = 8,684.64 × 2,503.20
  4. Step 4: Simplify right side
    5,788.56x = 21,739,390.85
  5. Step 5: Solve for x
    x = 21,739,390.85/5,788.56
  6. Step 6: Final answer
    x = 3,755.58

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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.