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Finding the Fourth Proportional to 3,645.69, 5,031.36 and 2,980.68

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Solution

The fourth proportional to 3,645.69, 5,031.36 and 2,980.68 is: 4,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.69 : 5,031.36 = 2,980.68 : x
  2. Step 2: Convert to fraction form
    3,645.69/5,031.36 = 2,980.68/x
  3. Step 3: Cross multiply
    3,645.69x = 5,031.36 × 2,980.68
  4. Step 4: Simplify right side
    3,645.69x = 14,996,874.12
  5. Step 5: Solve for x
    x = 14,996,874.12/3,645.69
  6. Step 6: Final answer
    x = 4,113.59

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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.