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Finding the Fourth Proportional to 5,431.68, 8,144.64 and 2,352

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Solution

The fourth proportional to 5,431.68, 8,144.64 and 2,352 is: 3,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.68 : 8,144.64 = 2,352 : x
  2. Step 2: Convert to fraction form
    5,431.68/8,144.64 = 2,352/x
  3. Step 3: Cross multiply
    5,431.68x = 8,144.64 × 2,352
  4. Step 4: Simplify right side
    5,431.68x = 19,156,193.28
  5. Step 5: Solve for x
    x = 19,156,193.28/5,431.68
  6. Step 6: Final answer
    x = 3,526.75

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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.