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Finding the Fourth Proportional to 6,414.52, 8,852.46 and 4,055.80

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Solution

The fourth proportional to 6,414.52, 8,852.46 and 4,055.80 is: 5,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.52 : 8,852.46 = 4,055.80 : x
  2. Step 2: Convert to fraction form
    6,414.52/8,852.46 = 4,055.80/x
  3. Step 3: Cross multiply
    6,414.52x = 8,852.46 × 4,055.80
  4. Step 4: Simplify right side
    6,414.52x = 35,903,807.27
  5. Step 5: Solve for x
    x = 35,903,807.27/6,414.52
  6. Step 6: Final answer
    x = 5,597.27

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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.