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Finding the Fourth Proportional to 3,953.49, 5,929.56 and 1,320.81

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Solution

The fourth proportional to 3,953.49, 5,929.56 and 1,320.81 is: 1,980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.49 : 5,929.56 = 1,320.81 : x
  2. Step 2: Convert to fraction form
    3,953.49/5,929.56 = 1,320.81/x
  3. Step 3: Cross multiply
    3,953.49x = 5,929.56 × 1,320.81
  4. Step 4: Simplify right side
    3,953.49x = 7,831,822.14
  5. Step 5: Solve for x
    x = 7,831,822.14/3,953.49
  6. Step 6: Final answer
    x = 1,980.99

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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.