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Finding the Fourth Proportional to 3,901.76, 5,852.82 and 980.10

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Solution

The fourth proportional to 3,901.76, 5,852.82 and 980.10 is: 1,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.76 : 5,852.82 = 980.10 : x
  2. Step 2: Convert to fraction form
    3,901.76/5,852.82 = 980.10/x
  3. Step 3: Cross multiply
    3,901.76x = 5,852.82 × 980.10
  4. Step 4: Simplify right side
    3,901.76x = 5,736,348.88
  5. Step 5: Solve for x
    x = 5,736,348.88/3,901.76
  6. Step 6: Final answer
    x = 1,470.20

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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.