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Finding the Fourth Proportional to 5,329.32, 7,992.61 and 1,580.22

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Solution

The fourth proportional to 5,329.32, 7,992.61 and 1,580.22 is: 2,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.32 : 7,992.61 = 1,580.22 : x
  2. Step 2: Convert to fraction form
    5,329.32/7,992.61 = 1,580.22/x
  3. Step 3: Cross multiply
    5,329.32x = 7,992.61 × 1,580.22
  4. Step 4: Simplify right side
    5,329.32x = 12,630,084.64
  5. Step 5: Solve for x
    x = 12,630,084.64/5,329.32
  6. Step 6: Final answer
    x = 2,369.93

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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.