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Finding the Fourth Proportional to 6,097.77, 8,415.27 and 3,445.41

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Solution

The fourth proportional to 6,097.77, 8,415.27 and 3,445.41 is: 4,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.77 : 8,415.27 = 3,445.41 : x
  2. Step 2: Convert to fraction form
    6,097.77/8,415.27 = 3,445.41/x
  3. Step 3: Cross multiply
    6,097.77x = 8,415.27 × 3,445.41
  4. Step 4: Simplify right side
    6,097.77x = 28,994,055.41
  5. Step 5: Solve for x
    x = 28,994,055.41/6,097.77
  6. Step 6: Final answer
    x = 4,754.86

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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.