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Finding the Fourth Proportional to 4,597.60, 6,896.40 and 3,119.20

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Solution

The fourth proportional to 4,597.60, 6,896.40 and 3,119.20 is: 4,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.60 : 6,896.40 = 3,119.20 : x
  2. Step 2: Convert to fraction form
    4,597.60/6,896.40 = 3,119.20/x
  3. Step 3: Cross multiply
    4,597.60x = 6,896.40 × 3,119.20
  4. Step 4: Simplify right side
    4,597.60x = 21,511,250.88
  5. Step 5: Solve for x
    x = 21,511,250.88/4,597.60
  6. Step 6: Final answer
    x = 4,678.80

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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.