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Finding the Fourth Proportional to 3,792.68, 5,689.32 and 1,326.63

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Solution

The fourth proportional to 3,792.68, 5,689.32 and 1,326.63 is: 1,990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.68 : 5,689.32 = 1,326.63 : x
  2. Step 2: Convert to fraction form
    3,792.68/5,689.32 = 1,326.63/x
  3. Step 3: Cross multiply
    3,792.68x = 5,689.32 × 1,326.63
  4. Step 4: Simplify right side
    3,792.68x = 7,547,622.59
  5. Step 5: Solve for x
    x = 7,547,622.59/3,792.68
  6. Step 6: Final answer
    x = 1,990.05

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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.