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Finding the Fourth Proportional to 5,492.19, 7,577.51 and 3,133.88

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Solution

The fourth proportional to 5,492.19, 7,577.51 and 3,133.88 is: 4,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.19 : 7,577.51 = 3,133.88 : x
  2. Step 2: Convert to fraction form
    5,492.19/7,577.51 = 3,133.88/x
  3. Step 3: Cross multiply
    5,492.19x = 7,577.51 × 3,133.88
  4. Step 4: Simplify right side
    5,492.19x = 23,747,007.04
  5. Step 5: Solve for x
    x = 23,747,007.04/5,492.19
  6. Step 6: Final answer
    x = 4,323.78

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