Home / 5,102.31-7,653.64-1,404.53

Finding the Fourth Proportional to 5,102.31, 7,653.64 and 1,404.53

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Solution

The fourth proportional to 5,102.31, 7,653.64 and 1,404.53 is: 2,106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.31 : 7,653.64 = 1,404.53 : x
  2. Step 2: Convert to fraction form
    5,102.31/7,653.64 = 1,404.53/x
  3. Step 3: Cross multiply
    5,102.31x = 7,653.64 × 1,404.53
  4. Step 4: Simplify right side
    5,102.31x = 10,749,766.99
  5. Step 5: Solve for x
    x = 10,749,766.99/5,102.31
  6. Step 6: Final answer
    x = 2,106.84

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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.