Home / 5,205.54-7,802.73-2,569.38

Finding the Fourth Proportional to 5,205.54, 7,802.73 and 2,569.38

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Solution

The fourth proportional to 5,205.54, 7,802.73 and 2,569.38 is: 3,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.54 : 7,802.73 = 2,569.38 : x
  2. Step 2: Convert to fraction form
    5,205.54/7,802.73 = 2,569.38/x
  3. Step 3: Cross multiply
    5,205.54x = 7,802.73 × 2,569.38
  4. Step 4: Simplify right side
    5,205.54x = 20,048,178.41
  5. Step 5: Solve for x
    x = 20,048,178.41/5,205.54
  6. Step 6: Final answer
    x = 3,851.32

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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.