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Finding the Fourth Proportional to 3,610.84, 5,411.92 and 1,299.64

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Solution

The fourth proportional to 3,610.84, 5,411.92 and 1,299.64 is: 1,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.84 : 5,411.92 = 1,299.64 : x
  2. Step 2: Convert to fraction form
    3,610.84/5,411.92 = 1,299.64/x
  3. Step 3: Cross multiply
    3,610.84x = 5,411.92 × 1,299.64
  4. Step 4: Simplify right side
    3,610.84x = 7,033,547.71
  5. Step 5: Solve for x
    x = 7,033,547.71/3,610.84
  6. Step 6: Final answer
    x = 1,947.90

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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.