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Finding the Fourth Proportional to 5,894.10, 8,146.85 and 5,180.58

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Solution

The fourth proportional to 5,894.10, 8,146.85 and 5,180.58 is: 7,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.10 : 8,146.85 = 5,180.58 : x
  2. Step 2: Convert to fraction form
    5,894.10/8,146.85 = 5,180.58/x
  3. Step 3: Cross multiply
    5,894.10x = 8,146.85 × 5,180.58
  4. Step 4: Simplify right side
    5,894.10x = 42,205,382.27
  5. Step 5: Solve for x
    x = 42,205,382.27/5,894.10
  6. Step 6: Final answer
    x = 7,160.62

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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.