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Finding the Fourth Proportional to 5,135.86, 7,705.10 and 1,438.10

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Solution

The fourth proportional to 5,135.86, 7,705.10 and 1,438.10 is: 2,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.86 : 7,705.10 = 1,438.10 : x
  2. Step 2: Convert to fraction form
    5,135.86/7,705.10 = 1,438.10/x
  3. Step 3: Cross multiply
    5,135.86x = 7,705.10 × 1,438.10
  4. Step 4: Simplify right side
    5,135.86x = 11,080,704.31
  5. Step 5: Solve for x
    x = 11,080,704.31/5,135.86
  6. Step 6: Final answer
    x = 2,157.52

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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.