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Finding the Fourth Proportional to 4,109.60, 5,671.17 and 2,341.17

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Solution

The fourth proportional to 4,109.60, 5,671.17 and 2,341.17 is: 3,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.60 : 5,671.17 = 2,341.17 : x
  2. Step 2: Convert to fraction form
    4,109.60/5,671.17 = 2,341.17/x
  3. Step 3: Cross multiply
    4,109.60x = 5,671.17 × 2,341.17
  4. Step 4: Simplify right side
    4,109.60x = 13,277,173.07
  5. Step 5: Solve for x
    x = 13,277,173.07/4,109.60
  6. Step 6: Final answer
    x = 3,230.77

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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.