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Finding the Fourth Proportional to 5,669.50, 8,502.88 and 2,382.64

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Solution

The fourth proportional to 5,669.50, 8,502.88 and 2,382.64 is: 3,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.50 : 8,502.88 = 2,382.64 : x
  2. Step 2: Convert to fraction form
    5,669.50/8,502.88 = 2,382.64/x
  3. Step 3: Cross multiply
    5,669.50x = 8,502.88 × 2,382.64
  4. Step 4: Simplify right side
    5,669.50x = 20,259,302.00
  5. Step 5: Solve for x
    x = 20,259,302.00/5,669.50
  6. Step 6: Final answer
    x = 3,573.38

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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.