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Finding the Fourth Proportional to 3,427.55, 4,730 and 1,855.65

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Solution

The fourth proportional to 3,427.55, 4,730 and 1,855.65 is: 2,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.55 : 4,730 = 1,855.65 : x
  2. Step 2: Convert to fraction form
    3,427.55/4,730 = 1,855.65/x
  3. Step 3: Cross multiply
    3,427.55x = 4,730 × 1,855.65
  4. Step 4: Simplify right side
    3,427.55x = 8,777,224.50
  5. Step 5: Solve for x
    x = 8,777,224.50/3,427.55
  6. Step 6: Final answer
    x = 2,560.79

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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.