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Finding the Fourth Proportional to 5,611.34, 8,416.93 and 1,916.16

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Solution

The fourth proportional to 5,611.34, 8,416.93 and 1,916.16 is: 2,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.34 : 8,416.93 = 1,916.16 : x
  2. Step 2: Convert to fraction form
    5,611.34/8,416.93 = 1,916.16/x
  3. Step 3: Cross multiply
    5,611.34x = 8,416.93 × 1,916.16
  4. Step 4: Simplify right side
    5,611.34x = 16,128,151.83
  5. Step 5: Solve for x
    x = 16,128,151.83/5,611.34
  6. Step 6: Final answer
    x = 2,874.21

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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.