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Finding the Fourth Proportional to 5,738.43, 8,607.68 and 1,578.88

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Solution

The fourth proportional to 5,738.43, 8,607.68 and 1,578.88 is: 2,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.43 : 8,607.68 = 1,578.88 : x
  2. Step 2: Convert to fraction form
    5,738.43/8,607.68 = 1,578.88/x
  3. Step 3: Cross multiply
    5,738.43x = 8,607.68 × 1,578.88
  4. Step 4: Simplify right side
    5,738.43x = 13,590,454.17
  5. Step 5: Solve for x
    x = 13,590,454.17/5,738.43
  6. Step 6: Final answer
    x = 2,368.32

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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.