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Finding the Fourth Proportional to 5,673.04, 7,829.22 and 3,155.35

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Solution

The fourth proportional to 5,673.04, 7,829.22 and 3,155.35 is: 4,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.04 : 7,829.22 = 3,155.35 : x
  2. Step 2: Convert to fraction form
    5,673.04/7,829.22 = 3,155.35/x
  3. Step 3: Cross multiply
    5,673.04x = 7,829.22 × 3,155.35
  4. Step 4: Simplify right side
    5,673.04x = 24,703,929.33
  5. Step 5: Solve for x
    x = 24,703,929.33/5,673.04
  6. Step 6: Final answer
    x = 4,354.62

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