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Finding the Fourth Proportional to 3,615.40, 5,423.10 and 1,306.44

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Solution

The fourth proportional to 3,615.40, 5,423.10 and 1,306.44 is: 1,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.40 : 5,423.10 = 1,306.44 : x
  2. Step 2: Convert to fraction form
    3,615.40/5,423.10 = 1,306.44/x
  3. Step 3: Cross multiply
    3,615.40x = 5,423.10 × 1,306.44
  4. Step 4: Simplify right side
    3,615.40x = 7,084,954.76
  5. Step 5: Solve for x
    x = 7,084,954.76/3,615.40
  6. Step 6: Final answer
    x = 1,959.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.