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Finding the Fourth Proportional to 5,804.26, 8,706.87 and 1,856.05

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Solution

The fourth proportional to 5,804.26, 8,706.87 and 1,856.05 is: 2,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.26 : 8,706.87 = 1,856.05 : x
  2. Step 2: Convert to fraction form
    5,804.26/8,706.87 = 1,856.05/x
  3. Step 3: Cross multiply
    5,804.26x = 8,706.87 × 1,856.05
  4. Step 4: Simplify right side
    5,804.26x = 16,160,364.30
  5. Step 5: Solve for x
    x = 16,160,364.30/5,804.26
  6. Step 6: Final answer
    x = 2,784.23

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Why These Related Problems?

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