Home / 3,623.84-5,435-1,026.08

Finding the Fourth Proportional to 3,623.84, 5,435 and 1,026.08

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Solution

The fourth proportional to 3,623.84, 5,435 and 1,026.08 is: 1,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.84 : 5,435 = 1,026.08 : x
  2. Step 2: Convert to fraction form
    3,623.84/5,435 = 1,026.08/x
  3. Step 3: Cross multiply
    3,623.84x = 5,435 × 1,026.08
  4. Step 4: Simplify right side
    3,623.84x = 5,576,744.80
  5. Step 5: Solve for x
    x = 5,576,744.80/3,623.84
  6. Step 6: Final answer
    x = 1,538.90

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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.