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Finding the Fourth Proportional to 5,806.64, 8,014.44 and 3,570.41

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Solution

The fourth proportional to 5,806.64, 8,014.44 and 3,570.41 is: 4,927.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.64 : 8,014.44 = 3,570.41 : x
  2. Step 2: Convert to fraction form
    5,806.64/8,014.44 = 3,570.41/x
  3. Step 3: Cross multiply
    5,806.64x = 8,014.44 × 3,570.41
  4. Step 4: Simplify right side
    5,806.64x = 28,614,836.72
  5. Step 5: Solve for x
    x = 28,614,836.72/5,806.64
  6. Step 6: Final answer
    x = 4,927.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.