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Finding the Fourth Proportional to 5,459.30, 8,193.18 and 3,609.80

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Solution

The fourth proportional to 5,459.30, 8,193.18 and 3,609.80 is: 5,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.30 : 8,193.18 = 3,609.80 : x
  2. Step 2: Convert to fraction form
    5,459.30/8,193.18 = 3,609.80/x
  3. Step 3: Cross multiply
    5,459.30x = 8,193.18 × 3,609.80
  4. Step 4: Simplify right side
    5,459.30x = 29,575,741.16
  5. Step 5: Solve for x
    x = 29,575,741.16/5,459.30
  6. Step 6: Final answer
    x = 5,417.50

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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.