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Finding the Fourth Proportional to 5,874.16, 8,812.59 and 3,411.04

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Solution

The fourth proportional to 5,874.16, 8,812.59 and 3,411.04 is: 5,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.16 : 8,812.59 = 3,411.04 : x
  2. Step 2: Convert to fraction form
    5,874.16/8,812.59 = 3,411.04/x
  3. Step 3: Cross multiply
    5,874.16x = 8,812.59 × 3,411.04
  4. Step 4: Simplify right side
    5,874.16x = 30,060,096.99
  5. Step 5: Solve for x
    x = 30,060,096.99/5,874.16
  6. Step 6: Final answer
    x = 5,117.34

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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.