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Finding the Fourth Proportional to 5,763.40, 8,625.90 and 4,035.40

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Solution

The fourth proportional to 5,763.40, 8,625.90 and 4,035.40 is: 6,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.40 : 8,625.90 = 4,035.40 : x
  2. Step 2: Convert to fraction form
    5,763.40/8,625.90 = 4,035.40/x
  3. Step 3: Cross multiply
    5,763.40x = 8,625.90 × 4,035.40
  4. Step 4: Simplify right side
    5,763.40x = 34,808,956.86
  5. Step 5: Solve for x
    x = 34,808,956.86/5,763.40
  6. Step 6: Final answer
    x = 6,039.66

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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.