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Finding the Fourth Proportional to 5,255.71, 7,881.64 and 1,745.08

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Solution

The fourth proportional to 5,255.71, 7,881.64 and 1,745.08 is: 2,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.71 : 7,881.64 = 1,745.08 : x
  2. Step 2: Convert to fraction form
    5,255.71/7,881.64 = 1,745.08/x
  3. Step 3: Cross multiply
    5,255.71x = 7,881.64 × 1,745.08
  4. Step 4: Simplify right side
    5,255.71x = 13,754,068.26
  5. Step 5: Solve for x
    x = 13,754,068.26/5,255.71
  6. Step 6: Final answer
    x = 2,616.98

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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.