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Finding the Fourth Proportional to 5,738.36, 8,607.92 and 1,842.53

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Solution

The fourth proportional to 5,738.36, 8,607.92 and 1,842.53 is: 2,763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.36 : 8,607.92 = 1,842.53 : x
  2. Step 2: Convert to fraction form
    5,738.36/8,607.92 = 1,842.53/x
  3. Step 3: Cross multiply
    5,738.36x = 8,607.92 × 1,842.53
  4. Step 4: Simplify right side
    5,738.36x = 15,860,312.40
  5. Step 5: Solve for x
    x = 15,860,312.40/5,738.36
  6. Step 6: Final answer
    x = 2,763.91

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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.