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Finding the Fourth Proportional to 5,492.94, 8,242.65 and 2,032.62

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Solution

The fourth proportional to 5,492.94, 8,242.65 and 2,032.62 is: 3,050.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.94 : 8,242.65 = 2,032.62 : x
  2. Step 2: Convert to fraction form
    5,492.94/8,242.65 = 2,032.62/x
  3. Step 3: Cross multiply
    5,492.94x = 8,242.65 × 2,032.62
  4. Step 4: Simplify right side
    5,492.94x = 16,754,175.24
  5. Step 5: Solve for x
    x = 16,754,175.24/5,492.94
  6. Step 6: Final answer
    x = 3,050.13

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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.