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Finding the Fourth Proportional to 5,259.86, 7,258.54 and 2,901.94

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Solution

The fourth proportional to 5,259.86, 7,258.54 and 2,901.94 is: 4,004.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.86 : 7,258.54 = 2,901.94 : x
  2. Step 2: Convert to fraction form
    5,259.86/7,258.54 = 2,901.94/x
  3. Step 3: Cross multiply
    5,259.86x = 7,258.54 × 2,901.94
  4. Step 4: Simplify right side
    5,259.86x = 21,063,847.57
  5. Step 5: Solve for x
    x = 21,063,847.57/5,259.86
  6. Step 6: Final answer
    x = 4,004.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.