Home / 3,776.64-5,665.78-1,584.12

Finding the Fourth Proportional to 3,776.64, 5,665.78 and 1,584.12

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Solution

The fourth proportional to 3,776.64, 5,665.78 and 1,584.12 is: 2,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.64 : 5,665.78 = 1,584.12 : x
  2. Step 2: Convert to fraction form
    3,776.64/5,665.78 = 1,584.12/x
  3. Step 3: Cross multiply
    3,776.64x = 5,665.78 × 1,584.12
  4. Step 4: Simplify right side
    3,776.64x = 8,975,275.41
  5. Step 5: Solve for x
    x = 8,975,275.41/3,776.64
  6. Step 6: Final answer
    x = 2,376.52

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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.