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Finding the Fourth Proportional to 3,615.71, 4,970.50 and 3,109.70

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Solution

The fourth proportional to 3,615.71, 4,970.50 and 3,109.70 is: 4,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.71 : 4,970.50 = 3,109.70 : x
  2. Step 2: Convert to fraction form
    3,615.71/4,970.50 = 3,109.70/x
  3. Step 3: Cross multiply
    3,615.71x = 4,970.50 × 3,109.70
  4. Step 4: Simplify right side
    3,615.71x = 15,456,763.85
  5. Step 5: Solve for x
    x = 15,456,763.85/3,615.71
  6. Step 6: Final answer
    x = 4,274.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.