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Finding the Fourth Proportional to 3,392, 5,084.16 and 1,931.52

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Solution

The fourth proportional to 3,392, 5,084.16 and 1,931.52 is: 2,895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392 : 5,084.16 = 1,931.52 : x
  2. Step 2: Convert to fraction form
    3,392/5,084.16 = 1,931.52/x
  3. Step 3: Cross multiply
    3,392x = 5,084.16 × 1,931.52
  4. Step 4: Simplify right side
    3,392x = 9,820,156.72
  5. Step 5: Solve for x
    x = 9,820,156.72/3,392
  6. Step 6: Final answer
    x = 2,895.09

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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.