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Finding the Fourth Proportional to 3,775.65, 5,662.40 and 1,466.61

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Solution

The fourth proportional to 3,775.65, 5,662.40 and 1,466.61 is: 2,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.65 : 5,662.40 = 1,466.61 : x
  2. Step 2: Convert to fraction form
    3,775.65/5,662.40 = 1,466.61/x
  3. Step 3: Cross multiply
    3,775.65x = 5,662.40 × 1,466.61
  4. Step 4: Simplify right side
    3,775.65x = 8,304,525.13
  5. Step 5: Solve for x
    x = 8,304,525.13/3,775.65
  6. Step 6: Final answer
    x = 2,199.50

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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.