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Finding the Fourth Proportional to 3,427.48, 4,729.68 and 1,935.46

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Solution

The fourth proportional to 3,427.48, 4,729.68 and 1,935.46 is: 2,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.48 : 4,729.68 = 1,935.46 : x
  2. Step 2: Convert to fraction form
    3,427.48/4,729.68 = 1,935.46/x
  3. Step 3: Cross multiply
    3,427.48x = 4,729.68 × 1,935.46
  4. Step 4: Simplify right side
    3,427.48x = 9,154,106.45
  5. Step 5: Solve for x
    x = 9,154,106.45/3,427.48
  6. Step 6: Final answer
    x = 2,670.80

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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.