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Finding the Fourth Proportional to 5,201.02, 7,804.62 and 1,916.42

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Solution

The fourth proportional to 5,201.02, 7,804.62 and 1,916.42 is: 2,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.02 : 7,804.62 = 1,916.42 : x
  2. Step 2: Convert to fraction form
    5,201.02/7,804.62 = 1,916.42/x
  3. Step 3: Cross multiply
    5,201.02x = 7,804.62 × 1,916.42
  4. Step 4: Simplify right side
    5,201.02x = 14,956,929.86
  5. Step 5: Solve for x
    x = 14,956,929.86/5,201.02
  6. Step 6: Final answer
    x = 2,875.77

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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.