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Finding the Fourth Proportional to 5,744.16, 7,927.20 and 4,500

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Solution

The fourth proportional to 5,744.16, 7,927.20 and 4,500 is: 6,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.16 : 7,927.20 = 4,500 : x
  2. Step 2: Convert to fraction form
    5,744.16/7,927.20 = 4,500/x
  3. Step 3: Cross multiply
    5,744.16x = 7,927.20 × 4,500
  4. Step 4: Simplify right side
    5,744.16x = 35,672,400
  5. Step 5: Solve for x
    x = 35,672,400/5,744.16
  6. Step 6: Final answer
    x = 6,210.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.