Home / 3,807.24-5,709.12-1,584.48

Finding the Fourth Proportional to 3,807.24, 5,709.12 and 1,584.48

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Solution

The fourth proportional to 3,807.24, 5,709.12 and 1,584.48 is: 2,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.24 : 5,709.12 = 1,584.48 : x
  2. Step 2: Convert to fraction form
    3,807.24/5,709.12 = 1,584.48/x
  3. Step 3: Cross multiply
    3,807.24x = 5,709.12 × 1,584.48
  4. Step 4: Simplify right side
    3,807.24x = 9,045,986.46
  5. Step 5: Solve for x
    x = 9,045,986.46/3,807.24
  6. Step 6: Final answer
    x = 2,376.00

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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.