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Finding the Fourth Proportional to 3,811.50, 5,718.21 and 1,075.50

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Solution

The fourth proportional to 3,811.50, 5,718.21 and 1,075.50 is: 1,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.50 : 5,718.21 = 1,075.50 : x
  2. Step 2: Convert to fraction form
    3,811.50/5,718.21 = 1,075.50/x
  3. Step 3: Cross multiply
    3,811.50x = 5,718.21 × 1,075.50
  4. Step 4: Simplify right side
    3,811.50x = 6,149,934.86
  5. Step 5: Solve for x
    x = 6,149,934.86/3,811.50
  6. Step 6: Final answer
    x = 1,613.52

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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.