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Finding the Fourth Proportional to 5,897.30, 8,117.42 and 5,057.19

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Solution

The fourth proportional to 5,897.30, 8,117.42 and 5,057.19 is: 6,961.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.30 : 8,117.42 = 5,057.19 : x
  2. Step 2: Convert to fraction form
    5,897.30/8,117.42 = 5,057.19/x
  3. Step 3: Cross multiply
    5,897.30x = 8,117.42 × 5,057.19
  4. Step 4: Simplify right side
    5,897.30x = 41,051,309.96
  5. Step 5: Solve for x
    x = 41,051,309.96/5,897.30
  6. Step 6: Final answer
    x = 6,961.04

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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.