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Finding the Fourth Proportional to 5,728.30, 8,026.10 and 5,728.30

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Solution

The fourth proportional to 5,728.30, 8,026.10 and 5,728.30 is: 8,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.30 : 8,026.10 = 5,728.30 : x
  2. Step 2: Convert to fraction form
    5,728.30/8,026.10 = 5,728.30/x
  3. Step 3: Cross multiply
    5,728.30x = 8,026.10 × 5,728.30
  4. Step 4: Simplify right side
    5,728.30x = 45,975,908.63
  5. Step 5: Solve for x
    x = 45,975,908.63/5,728.30
  6. Step 6: Final answer
    x = 8,026.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.