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Finding the Fourth Proportional to 5,941.74, 8,200.36 and 4,055.24

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Solution

The fourth proportional to 5,941.74, 8,200.36 and 4,055.24 is: 5,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.74 : 8,200.36 = 4,055.24 : x
  2. Step 2: Convert to fraction form
    5,941.74/8,200.36 = 4,055.24/x
  3. Step 3: Cross multiply
    5,941.74x = 8,200.36 × 4,055.24
  4. Step 4: Simplify right side
    5,941.74x = 33,254,427.89
  5. Step 5: Solve for x
    x = 33,254,427.89/5,941.74
  6. Step 6: Final answer
    x = 5,596.75

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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.