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Finding the Fourth Proportional to 5,201.19, 7,804.86 and 1,916.59

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Solution

The fourth proportional to 5,201.19, 7,804.86 and 1,916.59 is: 2,876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.19 : 7,804.86 = 1,916.59 : x
  2. Step 2: Convert to fraction form
    5,201.19/7,804.86 = 1,916.59/x
  3. Step 3: Cross multiply
    5,201.19x = 7,804.86 × 1,916.59
  4. Step 4: Simplify right side
    5,201.19x = 14,958,677.60
  5. Step 5: Solve for x
    x = 14,958,677.60/5,201.19
  6. Step 6: Final answer
    x = 2,876.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.