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Finding the Fourth Proportional to 3,851.76, 5,315.42 and 2,083.35

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Solution

The fourth proportional to 3,851.76, 5,315.42 and 2,083.35 is: 2,875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.76 : 5,315.42 = 2,083.35 : x
  2. Step 2: Convert to fraction form
    3,851.76/5,315.42 = 2,083.35/x
  3. Step 3: Cross multiply
    3,851.76x = 5,315.42 × 2,083.35
  4. Step 4: Simplify right side
    3,851.76x = 11,073,869.84
  5. Step 5: Solve for x
    x = 11,073,869.84/3,851.76
  6. Step 6: Final answer
    x = 2,875.02

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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.