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Finding the Fourth Proportional to 5,259.86, 7,258.68 and 2,902.05

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Solution

The fourth proportional to 5,259.86, 7,258.68 and 2,902.05 is: 4,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.86 : 7,258.68 = 2,902.05 : x
  2. Step 2: Convert to fraction form
    5,259.86/7,258.68 = 2,902.05/x
  3. Step 3: Cross multiply
    5,259.86x = 7,258.68 × 2,902.05
  4. Step 4: Simplify right side
    5,259.86x = 21,065,052.29
  5. Step 5: Solve for x
    x = 21,065,052.29/5,259.86
  6. Step 6: Final answer
    x = 4,004.87

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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.