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Finding the Fourth Proportional to 5,325.19, 7,988.17 and 1,813.77

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Solution

The fourth proportional to 5,325.19, 7,988.17 and 1,813.77 is: 2,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.19 : 7,988.17 = 1,813.77 : x
  2. Step 2: Convert to fraction form
    5,325.19/7,988.17 = 1,813.77/x
  3. Step 3: Cross multiply
    5,325.19x = 7,988.17 × 1,813.77
  4. Step 4: Simplify right side
    5,325.19x = 14,488,679.50
  5. Step 5: Solve for x
    x = 14,488,679.50/5,325.19
  6. Step 6: Final answer
    x = 2,720.78

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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.