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Finding the Fourth Proportional to 4,957.84, 7,433.28 and 1,836.32

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Solution

The fourth proportional to 4,957.84, 7,433.28 and 1,836.32 is: 2,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.84 : 7,433.28 = 1,836.32 : x
  2. Step 2: Convert to fraction form
    4,957.84/7,433.28 = 1,836.32/x
  3. Step 3: Cross multiply
    4,957.84x = 7,433.28 × 1,836.32
  4. Step 4: Simplify right side
    4,957.84x = 13,649,880.73
  5. Step 5: Solve for x
    x = 13,649,880.73/4,957.84
  6. Step 6: Final answer
    x = 2,753.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.