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Finding the Fourth Proportional to 5,406.63, 7,461.14 and 2,922.63

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Solution

The fourth proportional to 5,406.63, 7,461.14 and 2,922.63 is: 4,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.63 : 7,461.14 = 2,922.63 : x
  2. Step 2: Convert to fraction form
    5,406.63/7,461.14 = 2,922.63/x
  3. Step 3: Cross multiply
    5,406.63x = 7,461.14 × 2,922.63
  4. Step 4: Simplify right side
    5,406.63x = 21,806,151.60
  5. Step 5: Solve for x
    x = 21,806,151.60/5,406.63
  6. Step 6: Final answer
    x = 4,033.22

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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.