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Finding the Fourth Proportional to 5,246.76, 7,865.64 and 2,322.84

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Solution

The fourth proportional to 5,246.76, 7,865.64 and 2,322.84 is: 3,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.76 : 7,865.64 = 2,322.84 : x
  2. Step 2: Convert to fraction form
    5,246.76/7,865.64 = 2,322.84/x
  3. Step 3: Cross multiply
    5,246.76x = 7,865.64 × 2,322.84
  4. Step 4: Simplify right side
    5,246.76x = 18,270,623.22
  5. Step 5: Solve for x
    x = 18,270,623.22/5,246.76
  6. Step 6: Final answer
    x = 3,482.27

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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.