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Finding the Fourth Proportional to 5,780.16, 8,674.56 and 2,704.32

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Solution

The fourth proportional to 5,780.16, 8,674.56 and 2,704.32 is: 4,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.16 : 8,674.56 = 2,704.32 : x
  2. Step 2: Convert to fraction form
    5,780.16/8,674.56 = 2,704.32/x
  3. Step 3: Cross multiply
    5,780.16x = 8,674.56 × 2,704.32
  4. Step 4: Simplify right side
    5,780.16x = 23,458,786.10
  5. Step 5: Solve for x
    x = 23,458,786.10/5,780.16
  6. Step 6: Final answer
    x = 4,058.50

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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.