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Finding the Fourth Proportional to 3,848.52, 5,773.76 and 1,075.20

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Solution

The fourth proportional to 3,848.52, 5,773.76 and 1,075.20 is: 1,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.52 : 5,773.76 = 1,075.20 : x
  2. Step 2: Convert to fraction form
    3,848.52/5,773.76 = 1,075.20/x
  3. Step 3: Cross multiply
    3,848.52x = 5,773.76 × 1,075.20
  4. Step 4: Simplify right side
    3,848.52x = 6,207,949.44
  5. Step 5: Solve for x
    x = 6,207,949.44/3,848.52
  6. Step 6: Final answer
    x = 1,613.07

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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.