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Finding the Fourth Proportional to 3,782.66, 5,674 and 1,835.16

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Solution

The fourth proportional to 3,782.66, 5,674 and 1,835.16 is: 2,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.66 : 5,674 = 1,835.16 : x
  2. Step 2: Convert to fraction form
    3,782.66/5,674 = 1,835.16/x
  3. Step 3: Cross multiply
    3,782.66x = 5,674 × 1,835.16
  4. Step 4: Simplify right side
    3,782.66x = 10,412,697.84
  5. Step 5: Solve for x
    x = 10,412,697.84/3,782.66
  6. Step 6: Final answer
    x = 2,752.74

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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.