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Finding the Fourth Proportional to 5,816.88, 8,715.60 and 4,077

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Solution

The fourth proportional to 5,816.88, 8,715.60 and 4,077 is: 6,108.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.88 : 8,715.60 = 4,077 : x
  2. Step 2: Convert to fraction form
    5,816.88/8,715.60 = 4,077/x
  3. Step 3: Cross multiply
    5,816.88x = 8,715.60 × 4,077
  4. Step 4: Simplify right side
    5,816.88x = 35,533,501.20
  5. Step 5: Solve for x
    x = 35,533,501.20/5,816.88
  6. Step 6: Final answer
    x = 6,108.69

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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.