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Finding the Fourth Proportional to 3,223.34, 4,836.70 and 1,275.56

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Solution

The fourth proportional to 3,223.34, 4,836.70 and 1,275.56 is: 1,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.34 : 4,836.70 = 1,275.56 : x
  2. Step 2: Convert to fraction form
    3,223.34/4,836.70 = 1,275.56/x
  3. Step 3: Cross multiply
    3,223.34x = 4,836.70 × 1,275.56
  4. Step 4: Simplify right side
    3,223.34x = 6,169,501.05
  5. Step 5: Solve for x
    x = 6,169,501.05/3,223.34
  6. Step 6: Final answer
    x = 1,914.01

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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.