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Finding the Fourth Proportional to 3,518.42, 5,274.86 and 1,762.52

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Solution

The fourth proportional to 3,518.42, 5,274.86 and 1,762.52 is: 2,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.42 : 5,274.86 = 1,762.52 : x
  2. Step 2: Convert to fraction form
    3,518.42/5,274.86 = 1,762.52/x
  3. Step 3: Cross multiply
    3,518.42x = 5,274.86 × 1,762.52
  4. Step 4: Simplify right side
    3,518.42x = 9,297,011.06
  5. Step 5: Solve for x
    x = 9,297,011.06/3,518.42
  6. Step 6: Final answer
    x = 2,642.39

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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.