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Finding the Fourth Proportional to 5,916.16, 8,874.96 and 2,836

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Solution

The fourth proportional to 5,916.16, 8,874.96 and 2,836 is: 4,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.16 : 8,874.96 = 2,836 : x
  2. Step 2: Convert to fraction form
    5,916.16/8,874.96 = 2,836/x
  3. Step 3: Cross multiply
    5,916.16x = 8,874.96 × 2,836
  4. Step 4: Simplify right side
    5,916.16x = 25,169,386.56
  5. Step 5: Solve for x
    x = 25,169,386.56/5,916.16
  6. Step 6: Final answer
    x = 4,254.35

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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.