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Finding the Fourth Proportional to 5,343.63, 8,010.10 and 2,569.51

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Solution

The fourth proportional to 5,343.63, 8,010.10 and 2,569.51 is: 3,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.63 : 8,010.10 = 2,569.51 : x
  2. Step 2: Convert to fraction form
    5,343.63/8,010.10 = 2,569.51/x
  3. Step 3: Cross multiply
    5,343.63x = 8,010.10 × 2,569.51
  4. Step 4: Simplify right side
    5,343.63x = 20,582,032.05
  5. Step 5: Solve for x
    x = 20,582,032.05/5,343.63
  6. Step 6: Final answer
    x = 3,851.69

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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.