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Finding the Fourth Proportional to 5,051.88, 7,577.82 and 1,931.16

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Solution

The fourth proportional to 5,051.88, 7,577.82 and 1,931.16 is: 2,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.88 : 7,577.82 = 1,931.16 : x
  2. Step 2: Convert to fraction form
    5,051.88/7,577.82 = 1,931.16/x
  3. Step 3: Cross multiply
    5,051.88x = 7,577.82 × 1,931.16
  4. Step 4: Simplify right side
    5,051.88x = 14,633,982.87
  5. Step 5: Solve for x
    x = 14,633,982.87/5,051.88
  6. Step 6: Final answer
    x = 2,896.74

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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.