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Finding the Fourth Proportional to 5,705.80, 8,544.12 and 5,054.56

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Solution

The fourth proportional to 5,705.80, 8,544.12 and 5,054.56 is: 7,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.80 : 8,544.12 = 5,054.56 : x
  2. Step 2: Convert to fraction form
    5,705.80/8,544.12 = 5,054.56/x
  3. Step 3: Cross multiply
    5,705.80x = 8,544.12 × 5,054.56
  4. Step 4: Simplify right side
    5,705.80x = 43,186,767.19
  5. Step 5: Solve for x
    x = 43,186,767.19/5,705.80
  6. Step 6: Final answer
    x = 7,568.92

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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.