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Finding the Fourth Proportional to 5,723.94, 7,898.60 and 3,485.57

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Solution

The fourth proportional to 5,723.94, 7,898.60 and 3,485.57 is: 4,809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.94 : 7,898.60 = 3,485.57 : x
  2. Step 2: Convert to fraction form
    5,723.94/7,898.60 = 3,485.57/x
  3. Step 3: Cross multiply
    5,723.94x = 7,898.60 × 3,485.57
  4. Step 4: Simplify right side
    5,723.94x = 27,531,083.71
  5. Step 5: Solve for x
    x = 27,531,083.71/5,723.94
  6. Step 6: Final answer
    x = 4,809.82

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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.