Home / 5,764-7,955.76-3,281.44

Finding the Fourth Proportional to 5,764, 7,955.76 and 3,281.44

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Solution

The fourth proportional to 5,764, 7,955.76 and 3,281.44 is: 4,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764 : 7,955.76 = 3,281.44 : x
  2. Step 2: Convert to fraction form
    5,764/7,955.76 = 3,281.44/x
  3. Step 3: Cross multiply
    5,764x = 7,955.76 × 3,281.44
  4. Step 4: Simplify right side
    5,764x = 26,106,349.09
  5. Step 5: Solve for x
    x = 26,106,349.09/5,764
  6. Step 6: Final answer
    x = 4,529.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.