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Finding the Fourth Proportional to 3,427.56, 4,730 and 1,855.64

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Solution

The fourth proportional to 3,427.56, 4,730 and 1,855.64 is: 2,560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.56 : 4,730 = 1,855.64 : x
  2. Step 2: Convert to fraction form
    3,427.56/4,730 = 1,855.64/x
  3. Step 3: Cross multiply
    3,427.56x = 4,730 × 1,855.64
  4. Step 4: Simplify right side
    3,427.56x = 8,777,177.20
  5. Step 5: Solve for x
    x = 8,777,177.20/3,427.56
  6. Step 6: Final answer
    x = 2,560.77

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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.