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Finding the Fourth Proportional to 3,602.60, 4,967.10 and 3,005.96

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Solution

The fourth proportional to 3,602.60, 4,967.10 and 3,005.96 is: 4,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.60 : 4,967.10 = 3,005.96 : x
  2. Step 2: Convert to fraction form
    3,602.60/4,967.10 = 3,005.96/x
  3. Step 3: Cross multiply
    3,602.60x = 4,967.10 × 3,005.96
  4. Step 4: Simplify right side
    3,602.60x = 14,930,879.08
  5. Step 5: Solve for x
    x = 14,930,879.08/3,602.60
  6. Step 6: Final answer
    x = 4,144.48

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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.