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Finding the Fourth Proportional to 5,806.34, 8,012.80 and 3,153.77

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Solution

The fourth proportional to 5,806.34, 8,012.80 and 3,153.77 is: 4,352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.34 : 8,012.80 = 3,153.77 : x
  2. Step 2: Convert to fraction form
    5,806.34/8,012.80 = 3,153.77/x
  3. Step 3: Cross multiply
    5,806.34x = 8,012.80 × 3,153.77
  4. Step 4: Simplify right side
    5,806.34x = 25,270,513.31
  5. Step 5: Solve for x
    x = 25,270,513.31/5,806.34
  6. Step 6: Final answer
    x = 4,352.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.