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Finding the Fourth Proportional to 3,486.65, 5,225.22 and 1,924.32

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Solution

The fourth proportional to 3,486.65, 5,225.22 and 1,924.32 is: 2,883.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.65 : 5,225.22 = 1,924.32 : x
  2. Step 2: Convert to fraction form
    3,486.65/5,225.22 = 1,924.32/x
  3. Step 3: Cross multiply
    3,486.65x = 5,225.22 × 1,924.32
  4. Step 4: Simplify right side
    3,486.65x = 10,054,995.35
  5. Step 5: Solve for x
    x = 10,054,995.35/3,486.65
  6. Step 6: Final answer
    x = 2,883.86

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1.5x scale

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.