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Finding the Fourth Proportional to 3,474.95, 5,214.47 and 2,090.93

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Solution

The fourth proportional to 3,474.95, 5,214.47 and 2,090.93 is: 3,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.95 : 5,214.47 = 2,090.93 : x
  2. Step 2: Convert to fraction form
    3,474.95/5,214.47 = 2,090.93/x
  3. Step 3: Cross multiply
    3,474.95x = 5,214.47 × 2,090.93
  4. Step 4: Simplify right side
    3,474.95x = 10,903,055.23
  5. Step 5: Solve for x
    x = 10,903,055.23/3,474.95
  6. Step 6: Final answer
    x = 3,137.62

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1.5x scale

Why These Related Problems?

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