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Finding the Fourth Proportional to 5,209.64, 7,817.98 and 1,925.36

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Solution

The fourth proportional to 5,209.64, 7,817.98 and 1,925.36 is: 2,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.64 : 7,817.98 = 1,925.36 : x
  2. Step 2: Convert to fraction form
    5,209.64/7,817.98 = 1,925.36/x
  3. Step 3: Cross multiply
    5,209.64x = 7,817.98 × 1,925.36
  4. Step 4: Simplify right side
    5,209.64x = 15,052,425.97
  5. Step 5: Solve for x
    x = 15,052,425.97/5,209.64
  6. Step 6: Final answer
    x = 2,889.34

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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.