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Finding the Fourth Proportional to 3,875.51, 5,348.16 and 2,107.13

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Solution

The fourth proportional to 3,875.51, 5,348.16 and 2,107.13 is: 2,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.51 : 5,348.16 = 2,107.13 : x
  2. Step 2: Convert to fraction form
    3,875.51/5,348.16 = 2,107.13/x
  3. Step 3: Cross multiply
    3,875.51x = 5,348.16 × 2,107.13
  4. Step 4: Simplify right side
    3,875.51x = 11,269,241.64
  5. Step 5: Solve for x
    x = 11,269,241.64/3,875.51
  6. Step 6: Final answer
    x = 2,907.81

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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.