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Finding the Fourth Proportional to 3,775.77, 5,636.16 and 3,464.19

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Solution

The fourth proportional to 3,775.77, 5,636.16 and 3,464.19 is: 5,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.77 : 5,636.16 = 3,464.19 : x
  2. Step 2: Convert to fraction form
    3,775.77/5,636.16 = 3,464.19/x
  3. Step 3: Cross multiply
    3,775.77x = 5,636.16 × 3,464.19
  4. Step 4: Simplify right side
    3,775.77x = 19,524,729.11
  5. Step 5: Solve for x
    x = 19,524,729.11/3,775.77
  6. Step 6: Final answer
    x = 5,171.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.