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Finding the Fourth Proportional to 5,259.69, 7,258.16 and 2,901.80

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Solution

The fourth proportional to 5,259.69, 7,258.16 and 2,901.80 is: 4,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.69 : 7,258.16 = 2,901.80 : x
  2. Step 2: Convert to fraction form
    5,259.69/7,258.16 = 2,901.80/x
  3. Step 3: Cross multiply
    5,259.69x = 7,258.16 × 2,901.80
  4. Step 4: Simplify right side
    5,259.69x = 21,061,754.09
  5. Step 5: Solve for x
    x = 21,061,754.09/5,259.69
  6. Step 6: Final answer
    x = 4,004.37

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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.