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Finding the Fourth Proportional to 3,483.80, 5,225.24 and 1,290.87

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Solution

The fourth proportional to 3,483.80, 5,225.24 and 1,290.87 is: 1,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.80 : 5,225.24 = 1,290.87 : x
  2. Step 2: Convert to fraction form
    3,483.80/5,225.24 = 1,290.87/x
  3. Step 3: Cross multiply
    3,483.80x = 5,225.24 × 1,290.87
  4. Step 4: Simplify right side
    3,483.80x = 6,745,099.10
  5. Step 5: Solve for x
    x = 6,745,099.10/3,483.80
  6. Step 6: Final answer
    x = 1,936.14

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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.