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Finding the Fourth Proportional to 3,681.05, 5,078.70 and 2,108.84

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Solution

The fourth proportional to 3,681.05, 5,078.70 and 2,108.84 is: 2,909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.05 : 5,078.70 = 2,108.84 : x
  2. Step 2: Convert to fraction form
    3,681.05/5,078.70 = 2,108.84/x
  3. Step 3: Cross multiply
    3,681.05x = 5,078.70 × 2,108.84
  4. Step 4: Simplify right side
    3,681.05x = 10,710,140.31
  5. Step 5: Solve for x
    x = 10,710,140.31/3,681.05
  6. Step 6: Final answer
    x = 2,909.54

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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.