Home / 5,154.52-7,732.06-1,457.04

Finding the Fourth Proportional to 5,154.52, 7,732.06 and 1,457.04

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Solution

The fourth proportional to 5,154.52, 7,732.06 and 1,457.04 is: 2,185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.52 : 7,732.06 = 1,457.04 : x
  2. Step 2: Convert to fraction form
    5,154.52/7,732.06 = 1,457.04/x
  3. Step 3: Cross multiply
    5,154.52x = 7,732.06 × 1,457.04
  4. Step 4: Simplify right side
    5,154.52x = 11,265,920.70
  5. Step 5: Solve for x
    x = 11,265,920.70/5,154.52
  6. Step 6: Final answer
    x = 2,185.64

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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.