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Finding the Fourth Proportional to 3,256.07, 4,884.96 and 916.09

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Solution

The fourth proportional to 3,256.07, 4,884.96 and 916.09 is: 1,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.07 : 4,884.96 = 916.09 : x
  2. Step 2: Convert to fraction form
    3,256.07/4,884.96 = 916.09/x
  3. Step 3: Cross multiply
    3,256.07x = 4,884.96 × 916.09
  4. Step 4: Simplify right side
    3,256.07x = 4,475,063.01
  5. Step 5: Solve for x
    x = 4,475,063.01/3,256.07
  6. Step 6: Final answer
    x = 1,374.38

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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.