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Finding the Fourth Proportional to 3,427.42, 4,729.74 and 1,935.36

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Solution

The fourth proportional to 3,427.42, 4,729.74 and 1,935.36 is: 2,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.42 : 4,729.74 = 1,935.36 : x
  2. Step 2: Convert to fraction form
    3,427.42/4,729.74 = 1,935.36/x
  3. Step 3: Cross multiply
    3,427.42x = 4,729.74 × 1,935.36
  4. Step 4: Simplify right side
    3,427.42x = 9,153,749.61
  5. Step 5: Solve for x
    x = 9,153,749.61/3,427.42
  6. Step 6: Final answer
    x = 2,670.74

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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.