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Finding the Fourth Proportional to 3,685.25, 5,520.48 and 1,830.76

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Solution

The fourth proportional to 3,685.25, 5,520.48 and 1,830.76 is: 2,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.25 : 5,520.48 = 1,830.76 : x
  2. Step 2: Convert to fraction form
    3,685.25/5,520.48 = 1,830.76/x
  3. Step 3: Cross multiply
    3,685.25x = 5,520.48 × 1,830.76
  4. Step 4: Simplify right side
    3,685.25x = 10,106,673.96
  5. Step 5: Solve for x
    x = 10,106,673.96/3,685.25
  6. Step 6: Final answer
    x = 2,742.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.