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Finding the Fourth Proportional to 5,642.80, 8,458.20 and 2,719.20

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Solution

The fourth proportional to 5,642.80, 8,458.20 and 2,719.20 is: 4,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.80 : 8,458.20 = 2,719.20 : x
  2. Step 2: Convert to fraction form
    5,642.80/8,458.20 = 2,719.20/x
  3. Step 3: Cross multiply
    5,642.80x = 8,458.20 × 2,719.20
  4. Step 4: Simplify right side
    5,642.80x = 22,999,537.44
  5. Step 5: Solve for x
    x = 22,999,537.44/5,642.80
  6. Step 6: Final answer
    x = 4,075.91

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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.