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Finding the Fourth Proportional to 5,603.11, 8,402.24 and 1,706.61

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Solution

The fourth proportional to 5,603.11, 8,402.24 and 1,706.61 is: 2,559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.11 : 8,402.24 = 1,706.61 : x
  2. Step 2: Convert to fraction form
    5,603.11/8,402.24 = 1,706.61/x
  3. Step 3: Cross multiply
    5,603.11x = 8,402.24 × 1,706.61
  4. Step 4: Simplify right side
    5,603.11x = 14,339,346.81
  5. Step 5: Solve for x
    x = 14,339,346.81/5,603.11
  6. Step 6: Final answer
    x = 2,559.18

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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.