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Finding the Fourth Proportional to 5,720.34, 8,578.34 and 2,021.58

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Solution

The fourth proportional to 5,720.34, 8,578.34 and 2,021.58 is: 3,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.34 : 8,578.34 = 2,021.58 : x
  2. Step 2: Convert to fraction form
    5,720.34/8,578.34 = 2,021.58/x
  3. Step 3: Cross multiply
    5,720.34x = 8,578.34 × 2,021.58
  4. Step 4: Simplify right side
    5,720.34x = 17,341,800.58
  5. Step 5: Solve for x
    x = 17,341,800.58/5,720.34
  6. Step 6: Final answer
    x = 3,031.60

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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.