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Finding the Fourth Proportional to 5,702.09, 8,554.37 and 1,806.80

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Solution

The fourth proportional to 5,702.09, 8,554.37 and 1,806.80 is: 2,710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.09 : 8,554.37 = 1,806.80 : x
  2. Step 2: Convert to fraction form
    5,702.09/8,554.37 = 1,806.80/x
  3. Step 3: Cross multiply
    5,702.09x = 8,554.37 × 1,806.80
  4. Step 4: Simplify right side
    5,702.09x = 15,455,983.91
  5. Step 5: Solve for x
    x = 15,455,983.91/5,702.09
  6. Step 6: Final answer
    x = 2,710.58

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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.