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Finding the Fourth Proportional to 5,925.99, 8,177.31 and 3,797.76

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Solution

The fourth proportional to 5,925.99, 8,177.31 and 3,797.76 is: 5,240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.99 : 8,177.31 = 3,797.76 : x
  2. Step 2: Convert to fraction form
    5,925.99/8,177.31 = 3,797.76/x
  3. Step 3: Cross multiply
    5,925.99x = 8,177.31 × 3,797.76
  4. Step 4: Simplify right side
    5,925.99x = 31,055,460.83
  5. Step 5: Solve for x
    x = 31,055,460.83/5,925.99
  6. Step 6: Final answer
    x = 5,240.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.