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Finding the Fourth Proportional to 6,057.15, 9,085.84 and 1,897.30

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Solution

The fourth proportional to 6,057.15, 9,085.84 and 1,897.30 is: 2,845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.15 : 9,085.84 = 1,897.30 : x
  2. Step 2: Convert to fraction form
    6,057.15/9,085.84 = 1,897.30/x
  3. Step 3: Cross multiply
    6,057.15x = 9,085.84 × 1,897.30
  4. Step 4: Simplify right side
    6,057.15x = 17,238,545.29
  5. Step 5: Solve for x
    x = 17,238,545.29/6,057.15
  6. Step 6: Final answer
    x = 2,845.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.