Home / 5,137.24-7,706.34-2,364.68

Finding the Fourth Proportional to 5,137.24, 7,706.34 and 2,364.68

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Solution

The fourth proportional to 5,137.24, 7,706.34 and 2,364.68 is: 3,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.24 : 7,706.34 = 2,364.68 : x
  2. Step 2: Convert to fraction form
    5,137.24/7,706.34 = 2,364.68/x
  3. Step 3: Cross multiply
    5,137.24x = 7,706.34 × 2,364.68
  4. Step 4: Simplify right side
    5,137.24x = 18,223,028.07
  5. Step 5: Solve for x
    x = 18,223,028.07/5,137.24
  6. Step 6: Final answer
    x = 3,547.24

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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.