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Finding the Fourth Proportional to 3,786.65, 5,680.01 and 2,362.32

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Solution

The fourth proportional to 3,786.65, 5,680.01 and 2,362.32 is: 3,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.65 : 5,680.01 = 2,362.32 : x
  2. Step 2: Convert to fraction form
    3,786.65/5,680.01 = 2,362.32/x
  3. Step 3: Cross multiply
    3,786.65x = 5,680.01 × 2,362.32
  4. Step 4: Simplify right side
    3,786.65x = 13,417,994.90
  5. Step 5: Solve for x
    x = 13,417,994.90/3,786.65
  6. Step 6: Final answer
    x = 3,543.50

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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.