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Finding the Fourth Proportional to 5,843.25, 8,722.50 and 5,409.65

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Solution

The fourth proportional to 5,843.25, 8,722.50 and 5,409.65 is: 8,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.25 : 8,722.50 = 5,409.65 : x
  2. Step 2: Convert to fraction form
    5,843.25/8,722.50 = 5,409.65/x
  3. Step 3: Cross multiply
    5,843.25x = 8,722.50 × 5,409.65
  4. Step 4: Simplify right side
    5,843.25x = 47,185,628.51
  5. Step 5: Solve for x
    x = 47,185,628.51/5,843.25
  6. Step 6: Final answer
    x = 8,075.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.