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Finding the Fourth Proportional to 3,901.96, 5,852.72 and 980.08

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Solution

The fourth proportional to 3,901.96, 5,852.72 and 980.08 is: 1,470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.96 : 5,852.72 = 980.08 : x
  2. Step 2: Convert to fraction form
    3,901.96/5,852.72 = 980.08/x
  3. Step 3: Cross multiply
    3,901.96x = 5,852.72 × 980.08
  4. Step 4: Simplify right side
    3,901.96x = 5,736,133.82
  5. Step 5: Solve for x
    x = 5,736,133.82/3,901.96
  6. Step 6: Final answer
    x = 1,470.06

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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.