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Finding the Fourth Proportional to 5,767.45, 8,662.91 and 5,089.48

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Solution

The fourth proportional to 5,767.45, 8,662.91 and 5,089.48 is: 7,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.45 : 8,662.91 = 5,089.48 : x
  2. Step 2: Convert to fraction form
    5,767.45/8,662.91 = 5,089.48/x
  3. Step 3: Cross multiply
    5,767.45x = 8,662.91 × 5,089.48
  4. Step 4: Simplify right side
    5,767.45x = 44,089,707.19
  5. Step 5: Solve for x
    x = 44,089,707.19/5,767.45
  6. Step 6: Final answer
    x = 7,644.58

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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.