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Finding the Fourth Proportional to 5,806.36, 8,009.84 and 3,678.36

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Solution

The fourth proportional to 5,806.36, 8,009.84 and 3,678.36 is: 5,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.36 : 8,009.84 = 3,678.36 : x
  2. Step 2: Convert to fraction form
    5,806.36/8,009.84 = 3,678.36/x
  3. Step 3: Cross multiply
    5,806.36x = 8,009.84 × 3,678.36
  4. Step 4: Simplify right side
    5,806.36x = 29,463,075.06
  5. Step 5: Solve for x
    x = 29,463,075.06/5,806.36
  6. Step 6: Final answer
    x = 5,074.28

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1.5x scale

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.