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Finding the Fourth Proportional to 5,673.06, 7,828.85 and 3,155.45

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Solution

The fourth proportional to 5,673.06, 7,828.85 and 3,155.45 is: 4,354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.06 : 7,828.85 = 3,155.45 : x
  2. Step 2: Convert to fraction form
    5,673.06/7,828.85 = 3,155.45/x
  3. Step 3: Cross multiply
    5,673.06x = 7,828.85 × 3,155.45
  4. Step 4: Simplify right side
    5,673.06x = 24,703,513.48
  5. Step 5: Solve for x
    x = 24,703,513.48/5,673.06
  6. Step 6: Final answer
    x = 4,354.53

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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.