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Finding the Fourth Proportional to 3,256.09, 4,884.06 and 916.07

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Solution

The fourth proportional to 3,256.09, 4,884.06 and 916.07 is: 1,374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.09 : 4,884.06 = 916.07 : x
  2. Step 2: Convert to fraction form
    3,256.09/4,884.06 = 916.07/x
  3. Step 3: Cross multiply
    3,256.09x = 4,884.06 × 916.07
  4. Step 4: Simplify right side
    3,256.09x = 4,474,119.86
  5. Step 5: Solve for x
    x = 4,474,119.86/3,256.09
  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.