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Finding the Fourth Proportional to 4,602.96, 6,358.55 and 4,105.44

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Solution

The fourth proportional to 4,602.96, 6,358.55 and 4,105.44 is: 5,671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.96 : 6,358.55 = 4,105.44 : x
  2. Step 2: Convert to fraction form
    4,602.96/6,358.55 = 4,105.44/x
  3. Step 3: Cross multiply
    4,602.96x = 6,358.55 × 4,105.44
  4. Step 4: Simplify right side
    4,602.96x = 26,104,624.98
  5. Step 5: Solve for x
    x = 26,104,624.98/4,602.96
  6. Step 6: Final answer
    x = 5,671.27

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