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Finding the Fourth Proportional to 3,871.84, 5,802.88 and 2,409

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Solution

The fourth proportional to 3,871.84, 5,802.88 and 2,409 is: 3,610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.84 : 5,802.88 = 2,409 : x
  2. Step 2: Convert to fraction form
    3,871.84/5,802.88 = 2,409/x
  3. Step 3: Cross multiply
    3,871.84x = 5,802.88 × 2,409
  4. Step 4: Simplify right side
    3,871.84x = 13,979,137.92
  5. Step 5: Solve for x
    x = 13,979,137.92/3,871.84
  6. Step 6: Final answer
    x = 3,610.46

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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.