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Finding the Fourth Proportional to 5,873.54, 8,811.84 and 1,713.46

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Solution

The fourth proportional to 5,873.54, 8,811.84 and 1,713.46 is: 2,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.54 : 8,811.84 = 1,713.46 : x
  2. Step 2: Convert to fraction form
    5,873.54/8,811.84 = 1,713.46/x
  3. Step 3: Cross multiply
    5,873.54x = 8,811.84 × 1,713.46
  4. Step 4: Simplify right side
    5,873.54x = 15,098,735.37
  5. Step 5: Solve for x
    x = 15,098,735.37/5,873.54
  6. Step 6: Final answer
    x = 2,570.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.