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Finding the Fourth Proportional to 3,850.88, 5,776.32 and 1,254.08

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Solution

The fourth proportional to 3,850.88, 5,776.32 and 1,254.08 is: 1,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.88 : 5,776.32 = 1,254.08 : x
  2. Step 2: Convert to fraction form
    3,850.88/5,776.32 = 1,254.08/x
  3. Step 3: Cross multiply
    3,850.88x = 5,776.32 × 1,254.08
  4. Step 4: Simplify right side
    3,850.88x = 7,243,967.39
  5. Step 5: Solve for x
    x = 7,243,967.39/3,850.88
  6. Step 6: Final answer
    x = 1,881.12

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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.