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Finding the Fourth Proportional to 3,951.84, 5,957.76 and 3,740.16

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Solution

The fourth proportional to 3,951.84, 5,957.76 and 3,740.16 is: 5,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.84 : 5,957.76 = 3,740.16 : x
  2. Step 2: Convert to fraction form
    3,951.84/5,957.76 = 3,740.16/x
  3. Step 3: Cross multiply
    3,951.84x = 5,957.76 × 3,740.16
  4. Step 4: Simplify right side
    3,951.84x = 22,282,975.64
  5. Step 5: Solve for x
    x = 22,282,975.64/3,951.84
  6. Step 6: Final answer
    x = 5,638.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.