Home / 5,209.26-7,812.08-1,510.50

Finding the Fourth Proportional to 5,209.26, 7,812.08 and 1,510.50

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Solution

The fourth proportional to 5,209.26, 7,812.08 and 1,510.50 is: 2,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.26 : 7,812.08 = 1,510.50 : x
  2. Step 2: Convert to fraction form
    5,209.26/7,812.08 = 1,510.50/x
  3. Step 3: Cross multiply
    5,209.26x = 7,812.08 × 1,510.50
  4. Step 4: Simplify right side
    5,209.26x = 11,800,146.84
  5. Step 5: Solve for x
    x = 11,800,146.84/5,209.26
  6. Step 6: Final answer
    x = 2,265.23

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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.