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Finding the Fourth Proportional to 5,393.40, 8,090.10 and 4,097.40

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Solution

The fourth proportional to 5,393.40, 8,090.10 and 4,097.40 is: 6,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.40 : 8,090.10 = 4,097.40 : x
  2. Step 2: Convert to fraction form
    5,393.40/8,090.10 = 4,097.40/x
  3. Step 3: Cross multiply
    5,393.40x = 8,090.10 × 4,097.40
  4. Step 4: Simplify right side
    5,393.40x = 33,148,375.74
  5. Step 5: Solve for x
    x = 33,148,375.74/5,393.40
  6. Step 6: Final answer
    x = 6,146.10

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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.