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Finding the Fourth Proportional to 3,851.84, 5,315.54 and 2,083.44

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Solution

The fourth proportional to 3,851.84, 5,315.54 and 2,083.44 is: 2,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.84 : 5,315.54 = 2,083.44 : x
  2. Step 2: Convert to fraction form
    3,851.84/5,315.54 = 2,083.44/x
  3. Step 3: Cross multiply
    3,851.84x = 5,315.54 × 2,083.44
  4. Step 4: Simplify right side
    3,851.84x = 11,074,598.24
  5. Step 5: Solve for x
    x = 11,074,598.24/3,851.84
  6. Step 6: Final answer
    x = 2,875.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.