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Finding the Fourth Proportional to 5,803.95, 8,706.87 and 2,106.57

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Solution

The fourth proportional to 5,803.95, 8,706.87 and 2,106.57 is: 3,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.95 : 8,706.87 = 2,106.57 : x
  2. Step 2: Convert to fraction form
    5,803.95/8,706.87 = 2,106.57/x
  3. Step 3: Cross multiply
    5,803.95x = 8,706.87 × 2,106.57
  4. Step 4: Simplify right side
    5,803.95x = 18,341,631.14
  5. Step 5: Solve for x
    x = 18,341,631.14/5,803.95
  6. Step 6: Final answer
    x = 3,160.20

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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.