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Finding the Fourth Proportional to 3,396.58, 5,094.88 and 931.42

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Solution

The fourth proportional to 3,396.58, 5,094.88 and 931.42 is: 1,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.58 : 5,094.88 = 931.42 : x
  2. Step 2: Convert to fraction form
    3,396.58/5,094.88 = 931.42/x
  3. Step 3: Cross multiply
    3,396.58x = 5,094.88 × 931.42
  4. Step 4: Simplify right side
    3,396.58x = 4,745,477.17
  5. Step 5: Solve for x
    x = 4,745,477.17/3,396.58
  6. Step 6: Final answer
    x = 1,397.13

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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.