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Finding the Fourth Proportional to 3,673.16, 5,069.18 and 2,101.76

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Solution

The fourth proportional to 3,673.16, 5,069.18 and 2,101.76 is: 2,900.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.16 : 5,069.18 = 2,101.76 : x
  2. Step 2: Convert to fraction form
    3,673.16/5,069.18 = 2,101.76/x
  3. Step 3: Cross multiply
    3,673.16x = 5,069.18 × 2,101.76
  4. Step 4: Simplify right side
    3,673.16x = 10,654,199.76
  5. Step 5: Solve for x
    x = 10,654,199.76/3,673.16
  6. Step 6: Final answer
    x = 2,900.55

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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.