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Finding the Fourth Proportional to 4,259.84, 5,878.42 and 2,371.50

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Solution

The fourth proportional to 4,259.84, 5,878.42 and 2,371.50 is: 3,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.84 : 5,878.42 = 2,371.50 : x
  2. Step 2: Convert to fraction form
    4,259.84/5,878.42 = 2,371.50/x
  3. Step 3: Cross multiply
    4,259.84x = 5,878.42 × 2,371.50
  4. Step 4: Simplify right side
    4,259.84x = 13,940,673.03
  5. Step 5: Solve for x
    x = 13,940,673.03/4,259.84
  6. Step 6: Final answer
    x = 3,272.58

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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.