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Finding the Fourth Proportional to 5,937.64, 8,905.62 and 1,778.32

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Solution

The fourth proportional to 5,937.64, 8,905.62 and 1,778.32 is: 2,667.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.64 : 8,905.62 = 1,778.32 : x
  2. Step 2: Convert to fraction form
    5,937.64/8,905.62 = 1,778.32/x
  3. Step 3: Cross multiply
    5,937.64x = 8,905.62 × 1,778.32
  4. Step 4: Simplify right side
    5,937.64x = 15,837,042.16
  5. Step 5: Solve for x
    x = 15,837,042.16/5,937.64
  6. Step 6: Final answer
    x = 2,667.23

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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.