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Finding the Fourth Proportional to 3,645.70, 5,030.92 and 2,154.10

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Solution

The fourth proportional to 3,645.70, 5,030.92 and 2,154.10 is: 2,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.70 : 5,030.92 = 2,154.10 : x
  2. Step 2: Convert to fraction form
    3,645.70/5,030.92 = 2,154.10/x
  3. Step 3: Cross multiply
    3,645.70x = 5,030.92 × 2,154.10
  4. Step 4: Simplify right side
    3,645.70x = 10,837,104.77
  5. Step 5: Solve for x
    x = 10,837,104.77/3,645.70
  6. Step 6: Final answer
    x = 2,972.57

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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.