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Finding the Fourth Proportional to 3,813.59, 5,262.15 and 2,135.07

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Solution

The fourth proportional to 3,813.59, 5,262.15 and 2,135.07 is: 2,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.59 : 5,262.15 = 2,135.07 : x
  2. Step 2: Convert to fraction form
    3,813.59/5,262.15 = 2,135.07/x
  3. Step 3: Cross multiply
    3,813.59x = 5,262.15 × 2,135.07
  4. Step 4: Simplify right side
    3,813.59x = 11,235,045.45
  5. Step 5: Solve for x
    x = 11,235,045.45/3,813.59
  6. Step 6: Final answer
    x = 2,946.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.