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Finding the Fourth Proportional to 3,390.70, 5,106.37 and 2,984.28

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Solution

The fourth proportional to 3,390.70, 5,106.37 and 2,984.28 is: 4,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.70 : 5,106.37 = 2,984.28 : x
  2. Step 2: Convert to fraction form
    3,390.70/5,106.37 = 2,984.28/x
  3. Step 3: Cross multiply
    3,390.70x = 5,106.37 × 2,984.28
  4. Step 4: Simplify right side
    3,390.70x = 15,238,837.86
  5. Step 5: Solve for x
    x = 15,238,837.86/3,390.70
  6. Step 6: Final answer
    x = 4,494.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.