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Finding the Fourth Proportional to 3,670.44, 5,072.13 and 2,784.66

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Solution

The fourth proportional to 3,670.44, 5,072.13 and 2,784.66 is: 3,848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.44 : 5,072.13 = 2,784.66 : x
  2. Step 2: Convert to fraction form
    3,670.44/5,072.13 = 2,784.66/x
  3. Step 3: Cross multiply
    3,670.44x = 5,072.13 × 2,784.66
  4. Step 4: Simplify right side
    3,670.44x = 14,124,157.53
  5. Step 5: Solve for x
    x = 14,124,157.53/3,670.44
  6. Step 6: Final answer
    x = 3,848.08

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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.