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Finding the Fourth Proportional to 5,880, 8,816.72 and 5,188.28

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Solution

The fourth proportional to 5,880, 8,816.72 and 5,188.28 is: 7,779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880 : 8,816.72 = 5,188.28 : x
  2. Step 2: Convert to fraction form
    5,880/8,816.72 = 5,188.28/x
  3. Step 3: Cross multiply
    5,880x = 8,816.72 × 5,188.28
  4. Step 4: Simplify right side
    5,880x = 45,743,612.04
  5. Step 5: Solve for x
    x = 45,743,612.04/5,880
  6. Step 6: Final answer
    x = 7,779.53

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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.