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Finding the Fourth Proportional to 5,187.69, 7,159.05 and 2,829.78

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Solution

The fourth proportional to 5,187.69, 7,159.05 and 2,829.78 is: 3,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.69 : 7,159.05 = 2,829.78 : x
  2. Step 2: Convert to fraction form
    5,187.69/7,159.05 = 2,829.78/x
  3. Step 3: Cross multiply
    5,187.69x = 7,159.05 × 2,829.78
  4. Step 4: Simplify right side
    5,187.69x = 20,258,536.51
  5. Step 5: Solve for x
    x = 20,258,536.51/5,187.69
  6. Step 6: Final answer
    x = 3,905.12

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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.