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Finding the Fourth Proportional to 3,592.88, 5,389.52 and 1,284.38

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Solution

The fourth proportional to 3,592.88, 5,389.52 and 1,284.38 is: 1,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.88 : 5,389.52 = 1,284.38 : x
  2. Step 2: Convert to fraction form
    3,592.88/5,389.52 = 1,284.38/x
  3. Step 3: Cross multiply
    3,592.88x = 5,389.52 × 1,284.38
  4. Step 4: Simplify right side
    3,592.88x = 6,922,191.70
  5. Step 5: Solve for x
    x = 6,922,191.70/3,592.88
  6. Step 6: Final answer
    x = 1,926.64

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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.