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Finding the Fourth Proportional to 3,492.45, 5,234.70 and 1,931.65

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Solution

The fourth proportional to 3,492.45, 5,234.70 and 1,931.65 is: 2,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.45 : 5,234.70 = 1,931.65 : x
  2. Step 2: Convert to fraction form
    3,492.45/5,234.70 = 1,931.65/x
  3. Step 3: Cross multiply
    3,492.45x = 5,234.70 × 1,931.65
  4. Step 4: Simplify right side
    3,492.45x = 10,111,619.65
  5. Step 5: Solve for x
    x = 10,111,619.65/3,492.45
  6. Step 6: Final answer
    x = 2,895.28

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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.