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Finding the Fourth Proportional to 5,259.07, 7,886.30 and 1,969.85

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Solution

The fourth proportional to 5,259.07, 7,886.30 and 1,969.85 is: 2,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.07 : 7,886.30 = 1,969.85 : x
  2. Step 2: Convert to fraction form
    5,259.07/7,886.30 = 1,969.85/x
  3. Step 3: Cross multiply
    5,259.07x = 7,886.30 × 1,969.85
  4. Step 4: Simplify right side
    5,259.07x = 15,534,847.78
  5. Step 5: Solve for x
    x = 15,534,847.78/5,259.07
  6. Step 6: Final answer
    x = 2,953.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.