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Finding the Fourth Proportional to 3,224.17, 4,836.30 and 1,492.75

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Solution

The fourth proportional to 3,224.17, 4,836.30 and 1,492.75 is: 2,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.17 : 4,836.30 = 1,492.75 : x
  2. Step 2: Convert to fraction form
    3,224.17/4,836.30 = 1,492.75/x
  3. Step 3: Cross multiply
    3,224.17x = 4,836.30 × 1,492.75
  4. Step 4: Simplify right side
    3,224.17x = 7,219,386.83
  5. Step 5: Solve for x
    x = 7,219,386.83/3,224.17
  6. Step 6: Final answer
    x = 2,239.15

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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.