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Finding the Fourth Proportional to 3,224.57, 4,836.76 and 916.07

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Solution

The fourth proportional to 3,224.57, 4,836.76 and 916.07 is: 1,374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.57 : 4,836.76 = 916.07 : x
  2. Step 2: Convert to fraction form
    3,224.57/4,836.76 = 916.07/x
  3. Step 3: Cross multiply
    3,224.57x = 4,836.76 × 916.07
  4. Step 4: Simplify right side
    3,224.57x = 4,430,806.15
  5. Step 5: Solve for x
    x = 4,430,806.15/3,224.57
  6. Step 6: Final answer
    x = 1,374.08

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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.