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Finding the Fourth Proportional to 6,415.96, 8,858.39 and 4,152.77

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Solution

The fourth proportional to 6,415.96, 8,858.39 and 4,152.77 is: 5,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.96 : 8,858.39 = 4,152.77 : x
  2. Step 2: Convert to fraction form
    6,415.96/8,858.39 = 4,152.77/x
  3. Step 3: Cross multiply
    6,415.96x = 8,858.39 × 4,152.77
  4. Step 4: Simplify right side
    6,415.96x = 36,786,836.08
  5. Step 5: Solve for x
    x = 36,786,836.08/6,415.96
  6. Step 6: Final answer
    x = 5,733.65

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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.