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Finding the Fourth Proportional to 5,822.14, 8,735.38 and 2,703.64

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Solution

The fourth proportional to 5,822.14, 8,735.38 and 2,703.64 is: 4,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.14 : 8,735.38 = 2,703.64 : x
  2. Step 2: Convert to fraction form
    5,822.14/8,735.38 = 2,703.64/x
  3. Step 3: Cross multiply
    5,822.14x = 8,735.38 × 2,703.64
  4. Step 4: Simplify right side
    5,822.14x = 23,617,322.78
  5. Step 5: Solve for x
    x = 23,617,322.78/5,822.14
  6. Step 6: Final answer
    x = 4,056.47

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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.