Home / 4,498.82-6,749.14-1,537

Finding the Fourth Proportional to 4,498.82, 6,749.14 and 1,537

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Solution

The fourth proportional to 4,498.82, 6,749.14 and 1,537 is: 2,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.82 : 6,749.14 = 1,537 : x
  2. Step 2: Convert to fraction form
    4,498.82/6,749.14 = 1,537/x
  3. Step 3: Cross multiply
    4,498.82x = 6,749.14 × 1,537
  4. Step 4: Simplify right side
    4,498.82x = 10,373,428.18
  5. Step 5: Solve for x
    x = 10,373,428.18/4,498.82
  6. Step 6: Final answer
    x = 2,305.81

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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.