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Finding the Fourth Proportional to 5,763.80, 8,645.19 and 1,603.72

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Solution

The fourth proportional to 5,763.80, 8,645.19 and 1,603.72 is: 2,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.80 : 8,645.19 = 1,603.72 : x
  2. Step 2: Convert to fraction form
    5,763.80/8,645.19 = 1,603.72/x
  3. Step 3: Cross multiply
    5,763.80x = 8,645.19 × 1,603.72
  4. Step 4: Simplify right side
    5,763.80x = 13,864,480.93
  5. Step 5: Solve for x
    x = 13,864,480.93/5,763.80
  6. Step 6: Final answer
    x = 2,405.44

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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.