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Finding the Fourth Proportional to 5,897.94, 8,129.00 and 5,057.57

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Solution

The fourth proportional to 5,897.94, 8,129.00 and 5,057.57 is: 6,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.94 : 8,129.00 = 5,057.57 : x
  2. Step 2: Convert to fraction form
    5,897.94/8,129.00 = 5,057.57/x
  3. Step 3: Cross multiply
    5,897.94x = 8,129.00 × 5,057.57
  4. Step 4: Simplify right side
    5,897.94x = 41,112,920.60
  5. Step 5: Solve for x
    x = 41,112,920.60/5,897.94
  6. Step 6: Final answer
    x = 6,970.73

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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.