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Finding the Fourth Proportional to 3,334.74, 4,602.34 and 2,774.22

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Solution

The fourth proportional to 3,334.74, 4,602.34 and 2,774.22 is: 3,828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.74 : 4,602.34 = 2,774.22 : x
  2. Step 2: Convert to fraction form
    3,334.74/4,602.34 = 2,774.22/x
  3. Step 3: Cross multiply
    3,334.74x = 4,602.34 × 2,774.22
  4. Step 4: Simplify right side
    3,334.74x = 12,767,903.67
  5. Step 5: Solve for x
    x = 12,767,903.67/3,334.74
  6. Step 6: Final answer
    x = 3,828.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.