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Finding the Fourth Proportional to 4,147.40, 5,723.40 and 2,284.40

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Solution

The fourth proportional to 4,147.40, 5,723.40 and 2,284.40 is: 3,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.40 : 5,723.40 = 2,284.40 : x
  2. Step 2: Convert to fraction form
    4,147.40/5,723.40 = 2,284.40/x
  3. Step 3: Cross multiply
    4,147.40x = 5,723.40 × 2,284.40
  4. Step 4: Simplify right side
    4,147.40x = 13,074,534.96
  5. Step 5: Solve for x
    x = 13,074,534.96/4,147.40
  6. Step 6: Final answer
    x = 3,152.47

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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.