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Finding the Fourth Proportional to 5,928.64, 8,182.31 and 3,410.69

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Solution

The fourth proportional to 5,928.64, 8,182.31 and 3,410.69 is: 4,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.64 : 8,182.31 = 3,410.69 : x
  2. Step 2: Convert to fraction form
    5,928.64/8,182.31 = 3,410.69/x
  3. Step 3: Cross multiply
    5,928.64x = 8,182.31 × 3,410.69
  4. Step 4: Simplify right side
    5,928.64x = 27,907,264.93
  5. Step 5: Solve for x
    x = 27,907,264.93/5,928.64
  6. Step 6: Final answer
    x = 4,707.20

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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.