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Finding the Fourth Proportional to 5,807.70, 8,704.26 and 3,460.32

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Solution

The fourth proportional to 5,807.70, 8,704.26 and 3,460.32 is: 5,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.70 : 8,704.26 = 3,460.32 : x
  2. Step 2: Convert to fraction form
    5,807.70/8,704.26 = 3,460.32/x
  3. Step 3: Cross multiply
    5,807.70x = 8,704.26 × 3,460.32
  4. Step 4: Simplify right side
    5,807.70x = 30,119,524.96
  5. Step 5: Solve for x
    x = 30,119,524.96/5,807.70
  6. Step 6: Final answer
    x = 5,186.14

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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.