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Finding the Fourth Proportional to 5,754.04, 7,940.63 and 3,364.13

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Solution

The fourth proportional to 5,754.04, 7,940.63 and 3,364.13 is: 4,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.04 : 7,940.63 = 3,364.13 : x
  2. Step 2: Convert to fraction form
    5,754.04/7,940.63 = 3,364.13/x
  3. Step 3: Cross multiply
    5,754.04x = 7,940.63 × 3,364.13
  4. Step 4: Simplify right side
    5,754.04x = 26,713,339.86
  5. Step 5: Solve for x
    x = 26,713,339.86/5,754.04
  6. Step 6: Final answer
    x = 4,642.54

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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.