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Finding the Fourth Proportional to 5,435.68, 7,492.50 and 3,664.22

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Solution

The fourth proportional to 5,435.68, 7,492.50 and 3,664.22 is: 5,050.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.68 : 7,492.50 = 3,664.22 : x
  2. Step 2: Convert to fraction form
    5,435.68/7,492.50 = 3,664.22/x
  3. Step 3: Cross multiply
    5,435.68x = 7,492.50 × 3,664.22
  4. Step 4: Simplify right side
    5,435.68x = 27,454,168.35
  5. Step 5: Solve for x
    x = 27,454,168.35/5,435.68
  6. Step 6: Final answer
    x = 5,050.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.