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Finding the Fourth Proportional to 5,873.86, 8,106.26 and 3,485.24

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Solution

The fourth proportional to 5,873.86, 8,106.26 and 3,485.24 is: 4,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.86 : 8,106.26 = 3,485.24 : x
  2. Step 2: Convert to fraction form
    5,873.86/8,106.26 = 3,485.24/x
  3. Step 3: Cross multiply
    5,873.86x = 8,106.26 × 3,485.24
  4. Step 4: Simplify right side
    5,873.86x = 28,252,261.60
  5. Step 5: Solve for x
    x = 28,252,261.60/5,873.86
  6. Step 6: Final answer
    x = 4,809.83

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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.