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Finding the Fourth Proportional to 3,873.40, 5,810.02 and 951.59

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Solution

The fourth proportional to 3,873.40, 5,810.02 and 951.59 is: 1,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.40 : 5,810.02 = 951.59 : x
  2. Step 2: Convert to fraction form
    3,873.40/5,810.02 = 951.59/x
  3. Step 3: Cross multiply
    3,873.40x = 5,810.02 × 951.59
  4. Step 4: Simplify right side
    3,873.40x = 5,528,756.93
  5. Step 5: Solve for x
    x = 5,528,756.93/3,873.40
  6. Step 6: Final answer
    x = 1,427.37

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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.