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Finding the Fourth Proportional to 5,762.32, 8,640.48 and 2,473.60

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Solution

The fourth proportional to 5,762.32, 8,640.48 and 2,473.60 is: 3,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.32 : 8,640.48 = 2,473.60 : x
  2. Step 2: Convert to fraction form
    5,762.32/8,640.48 = 2,473.60/x
  3. Step 3: Cross multiply
    5,762.32x = 8,640.48 × 2,473.60
  4. Step 4: Simplify right side
    5,762.32x = 21,373,091.33
  5. Step 5: Solve for x
    x = 21,373,091.33/5,762.32
  6. Step 6: Final answer
    x = 3,709.11

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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.