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Finding the Fourth Proportional to 5,713.34, 8,570.03 and 2,013.55

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Solution

The fourth proportional to 5,713.34, 8,570.03 and 2,013.55 is: 3,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.34 : 8,570.03 = 2,013.55 : x
  2. Step 2: Convert to fraction form
    5,713.34/8,570.03 = 2,013.55/x
  3. Step 3: Cross multiply
    5,713.34x = 8,570.03 × 2,013.55
  4. Step 4: Simplify right side
    5,713.34x = 17,256,152.41
  5. Step 5: Solve for x
    x = 17,256,152.41/5,713.34
  6. Step 6: Final answer
    x = 3,020.33

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