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Finding the Fourth Proportional to 5,754.60, 8,623.80 and 4,021.20

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Solution

The fourth proportional to 5,754.60, 8,623.80 and 4,021.20 is: 6,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.60 : 8,623.80 = 4,021.20 : x
  2. Step 2: Convert to fraction form
    5,754.60/8,623.80 = 4,021.20/x
  3. Step 3: Cross multiply
    5,754.60x = 8,623.80 × 4,021.20
  4. Step 4: Simplify right side
    5,754.60x = 34,678,024.56
  5. Step 5: Solve for x
    x = 34,678,024.56/5,754.60
  6. Step 6: Final answer
    x = 6,026.14

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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.