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Finding the Fourth Proportional to 5,804.25, 8,706.35 and 2,106.47

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Solution

The fourth proportional to 5,804.25, 8,706.35 and 2,106.47 is: 3,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.25 : 8,706.35 = 2,106.47 : x
  2. Step 2: Convert to fraction form
    5,804.25/8,706.35 = 2,106.47/x
  3. Step 3: Cross multiply
    5,804.25x = 8,706.35 × 2,106.47
  4. Step 4: Simplify right side
    5,804.25x = 18,339,611.02
  5. Step 5: Solve for x
    x = 18,339,611.02/5,804.25
  6. Step 6: Final answer
    x = 3,159.69

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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.