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Finding the Fourth Proportional to 5,843.56, 8,065.70 and 3,485.80

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Solution

The fourth proportional to 5,843.56, 8,065.70 and 3,485.80 is: 4,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.56 : 8,065.70 = 3,485.80 : x
  2. Step 2: Convert to fraction form
    5,843.56/8,065.70 = 3,485.80/x
  3. Step 3: Cross multiply
    5,843.56x = 8,065.70 × 3,485.80
  4. Step 4: Simplify right side
    5,843.56x = 28,115,417.06
  5. Step 5: Solve for x
    x = 28,115,417.06/5,843.56
  6. Step 6: Final answer
    x = 4,811.35

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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.