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Finding the Fourth Proportional to 3,950.64, 5,926.08 and 1,177.36

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Solution

The fourth proportional to 3,950.64, 5,926.08 and 1,177.36 is: 1,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.64 : 5,926.08 = 1,177.36 : x
  2. Step 2: Convert to fraction form
    3,950.64/5,926.08 = 1,177.36/x
  3. Step 3: Cross multiply
    3,950.64x = 5,926.08 × 1,177.36
  4. Step 4: Simplify right side
    3,950.64x = 6,977,129.55
  5. Step 5: Solve for x
    x = 6,977,129.55/3,950.64
  6. Step 6: Final answer
    x = 1,766.08

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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.