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Finding the Fourth Proportional to 5,673.09, 7,829.69 and 3,404.53

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Solution

The fourth proportional to 5,673.09, 7,829.69 and 3,404.53 is: 4,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.09 : 7,829.69 = 3,404.53 : x
  2. Step 2: Convert to fraction form
    5,673.09/7,829.69 = 3,404.53/x
  3. Step 3: Cross multiply
    5,673.09x = 7,829.69 × 3,404.53
  4. Step 4: Simplify right side
    5,673.09x = 26,656,421.94
  5. Step 5: Solve for x
    x = 26,656,421.94/5,673.09
  6. Step 6: Final answer
    x = 4,698.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.