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Finding the Fourth Proportional to 4,307.90, 5,944.12 and 2,893.64

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Solution

The fourth proportional to 4,307.90, 5,944.12 and 2,893.64 is: 3,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.90 : 5,944.12 = 2,893.64 : x
  2. Step 2: Convert to fraction form
    4,307.90/5,944.12 = 2,893.64/x
  3. Step 3: Cross multiply
    4,307.90x = 5,944.12 × 2,893.64
  4. Step 4: Simplify right side
    4,307.90x = 17,200,143.40
  5. Step 5: Solve for x
    x = 17,200,143.40/4,307.90
  6. Step 6: Final answer
    x = 3,992.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.