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Finding the Fourth Proportional to 4,602.60, 6,336 and 4,069.80

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Solution

The fourth proportional to 4,602.60, 6,336 and 4,069.80 is: 5,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.60 : 6,336 = 4,069.80 : x
  2. Step 2: Convert to fraction form
    4,602.60/6,336 = 4,069.80/x
  3. Step 3: Cross multiply
    4,602.60x = 6,336 × 4,069.80
  4. Step 4: Simplify right side
    4,602.60x = 25,786,252.80
  5. Step 5: Solve for x
    x = 25,786,252.80/4,602.60
  6. Step 6: Final answer
    x = 5,602.54

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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.