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Finding the Fourth Proportional to 5,580.86, 8,352.86 and 3,078.23

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Solution

The fourth proportional to 5,580.86, 8,352.86 and 3,078.23 is: 4,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.86 : 8,352.86 = 3,078.23 : x
  2. Step 2: Convert to fraction form
    5,580.86/8,352.86 = 3,078.23/x
  3. Step 3: Cross multiply
    5,580.86x = 8,352.86 × 3,078.23
  4. Step 4: Simplify right side
    5,580.86x = 25,711,967.08
  5. Step 5: Solve for x
    x = 25,711,967.08/5,580.86
  6. Step 6: Final answer
    x = 4,607.17

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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.