Home / 5,302-7,312.80-4,467.28

Finding the Fourth Proportional to 5,302, 7,312.80 and 4,467.28

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Solution

The fourth proportional to 5,302, 7,312.80 and 4,467.28 is: 6,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302 : 7,312.80 = 4,467.28 : x
  2. Step 2: Convert to fraction form
    5,302/7,312.80 = 4,467.28/x
  3. Step 3: Cross multiply
    5,302x = 7,312.80 × 4,467.28
  4. Step 4: Simplify right side
    5,302x = 32,668,325.18
  5. Step 5: Solve for x
    x = 32,668,325.18/5,302
  6. Step 6: Final answer
    x = 6,161.51

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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.