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Finding the Fourth Proportional to 3,494.70, 5,240 and 1,413

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Solution

The fourth proportional to 3,494.70, 5,240 and 1,413 is: 2,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.70 : 5,240 = 1,413 : x
  2. Step 2: Convert to fraction form
    3,494.70/5,240 = 1,413/x
  3. Step 3: Cross multiply
    3,494.70x = 5,240 × 1,413
  4. Step 4: Simplify right side
    3,494.70x = 7,404,120
  5. Step 5: Solve for x
    x = 7,404,120/3,494.70
  6. Step 6: Final answer
    x = 2,118.67

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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.