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Finding the Fourth Proportional to 5,738.88, 7,923.44 and 4,410.16

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Solution

The fourth proportional to 5,738.88, 7,923.44 and 4,410.16 is: 6,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.88 : 7,923.44 = 4,410.16 : x
  2. Step 2: Convert to fraction form
    5,738.88/7,923.44 = 4,410.16/x
  3. Step 3: Cross multiply
    5,738.88x = 7,923.44 × 4,410.16
  4. Step 4: Simplify right side
    5,738.88x = 34,943,638.15
  5. Step 5: Solve for x
    x = 34,943,638.15/5,738.88
  6. Step 6: Final answer
    x = 6,088.93

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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.