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Finding the Fourth Proportional to 3,492.88, 5,239.18 and 1,184.38

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Solution

The fourth proportional to 3,492.88, 5,239.18 and 1,184.38 is: 1,776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.88 : 5,239.18 = 1,184.38 : x
  2. Step 2: Convert to fraction form
    3,492.88/5,239.18 = 1,184.38/x
  3. Step 3: Cross multiply
    3,492.88x = 5,239.18 × 1,184.38
  4. Step 4: Simplify right side
    3,492.88x = 6,205,180.01
  5. Step 5: Solve for x
    x = 6,205,180.01/3,492.88
  6. Step 6: Final answer
    x = 1,776.52

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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.