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Finding the Fourth Proportional to 5,738.04, 8,607.06 and 1,842.78

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Solution

The fourth proportional to 5,738.04, 8,607.06 and 1,842.78 is: 2,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.04 : 8,607.06 = 1,842.78 : x
  2. Step 2: Convert to fraction form
    5,738.04/8,607.06 = 1,842.78/x
  3. Step 3: Cross multiply
    5,738.04x = 8,607.06 × 1,842.78
  4. Step 4: Simplify right side
    5,738.04x = 15,860,918.03
  5. Step 5: Solve for x
    x = 15,860,918.03/5,738.04
  6. Step 6: Final answer
    x = 2,764.17

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1.5x scale

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.