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Finding the Fourth Proportional to 3,415.86, 5,125.68 and 1,335.99

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Solution

The fourth proportional to 3,415.86, 5,125.68 and 1,335.99 is: 2,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.86 : 5,125.68 = 1,335.99 : x
  2. Step 2: Convert to fraction form
    3,415.86/5,125.68 = 1,335.99/x
  3. Step 3: Cross multiply
    3,415.86x = 5,125.68 × 1,335.99
  4. Step 4: Simplify right side
    3,415.86x = 6,847,857.22
  5. Step 5: Solve for x
    x = 6,847,857.22/3,415.86
  6. Step 6: Final answer
    x = 2,004.72

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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.