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Finding the Fourth Proportional to 5,101.44, 7,650.40 and 1,980.71

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Solution

The fourth proportional to 5,101.44, 7,650.40 and 1,980.71 is: 2,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.44 : 7,650.40 = 1,980.71 : x
  2. Step 2: Convert to fraction form
    5,101.44/7,650.40 = 1,980.71/x
  3. Step 3: Cross multiply
    5,101.44x = 7,650.40 × 1,980.71
  4. Step 4: Simplify right side
    5,101.44x = 15,153,223.78
  5. Step 5: Solve for x
    x = 15,153,223.78/5,101.44
  6. Step 6: Final answer
    x = 2,970.38

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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.