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Finding the Fourth Proportional to 5,329.13, 7,992.33 and 1,580.03

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Solution

The fourth proportional to 5,329.13, 7,992.33 and 1,580.03 is: 2,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.13 : 7,992.33 = 1,580.03 : x
  2. Step 2: Convert to fraction form
    5,329.13/7,992.33 = 1,580.03/x
  3. Step 3: Cross multiply
    5,329.13x = 7,992.33 × 1,580.03
  4. Step 4: Simplify right side
    5,329.13x = 12,628,165.24
  5. Step 5: Solve for x
    x = 12,628,165.24/5,329.13
  6. Step 6: Final answer
    x = 2,369.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.