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Finding the Fourth Proportional to 3,871.98, 5,802.69 and 1,787.40

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Solution

The fourth proportional to 3,871.98, 5,802.69 and 1,787.40 is: 2,678.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.98 : 5,802.69 = 1,787.40 : x
  2. Step 2: Convert to fraction form
    3,871.98/5,802.69 = 1,787.40/x
  3. Step 3: Cross multiply
    3,871.98x = 5,802.69 × 1,787.40
  4. Step 4: Simplify right side
    3,871.98x = 10,371,728.11
  5. Step 5: Solve for x
    x = 10,371,728.11/3,871.98
  6. Step 6: Final answer
    x = 2,678.66

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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.