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Finding the Fourth Proportional to 5,366.94, 7,406.82 and 3,009.30

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Solution

The fourth proportional to 5,366.94, 7,406.82 and 3,009.30 is: 4,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.94 : 7,406.82 = 3,009.30 : x
  2. Step 2: Convert to fraction form
    5,366.94/7,406.82 = 3,009.30/x
  3. Step 3: Cross multiply
    5,366.94x = 7,406.82 × 3,009.30
  4. Step 4: Simplify right side
    5,366.94x = 22,289,343.43
  5. Step 5: Solve for x
    x = 22,289,343.43/5,366.94
  6. Step 6: Final answer
    x = 4,153.08

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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.