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Finding the Fourth Proportional to 5,770.16, 7,963.16 and 3,411.76

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Solution

The fourth proportional to 5,770.16, 7,963.16 and 3,411.76 is: 4,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.16 : 7,963.16 = 3,411.76 : x
  2. Step 2: Convert to fraction form
    5,770.16/7,963.16 = 3,411.76/x
  3. Step 3: Cross multiply
    5,770.16x = 7,963.16 × 3,411.76
  4. Step 4: Simplify right side
    5,770.16x = 27,168,390.76
  5. Step 5: Solve for x
    x = 27,168,390.76/5,770.16
  6. Step 6: Final answer
    x = 4,708.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.