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Finding the Fourth Proportional to 5,731.60, 8,580.60 and 4,277.20

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Solution

The fourth proportional to 5,731.60, 8,580.60 and 4,277.20 is: 6,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.60 : 8,580.60 = 4,277.20 : x
  2. Step 2: Convert to fraction form
    5,731.60/8,580.60 = 4,277.20/x
  3. Step 3: Cross multiply
    5,731.60x = 8,580.60 × 4,277.20
  4. Step 4: Simplify right side
    5,731.60x = 36,700,942.32
  5. Step 5: Solve for x
    x = 36,700,942.32/5,731.60
  6. Step 6: Final answer
    x = 6,403.26

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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.