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Finding the Fourth Proportional to 3,492.64, 5,239.64 and 2,104.30

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Solution

The fourth proportional to 3,492.64, 5,239.64 and 2,104.30 is: 3,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.64 : 5,239.64 = 2,104.30 : x
  2. Step 2: Convert to fraction form
    3,492.64/5,239.64 = 2,104.30/x
  3. Step 3: Cross multiply
    3,492.64x = 5,239.64 × 2,104.30
  4. Step 4: Simplify right side
    3,492.64x = 11,025,774.45
  5. Step 5: Solve for x
    x = 11,025,774.45/3,492.64
  6. Step 6: Final answer
    x = 3,156.86

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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.