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Finding the Fourth Proportional to 3,952.24, 5,928.30 and 1,178.93

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Solution

The fourth proportional to 3,952.24, 5,928.30 and 1,178.93 is: 1,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.24 : 5,928.30 = 1,178.93 : x
  2. Step 2: Convert to fraction form
    3,952.24/5,928.30 = 1,178.93/x
  3. Step 3: Cross multiply
    3,952.24x = 5,928.30 × 1,178.93
  4. Step 4: Simplify right side
    3,952.24x = 6,989,050.72
  5. Step 5: Solve for x
    x = 6,989,050.72/3,952.24
  6. Step 6: Final answer
    x = 1,768.38

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1.5x scale

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.