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Finding the Fourth Proportional to 5,891.28, 8,133.24 and 3,534

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Solution

The fourth proportional to 5,891.28, 8,133.24 and 3,534 is: 4,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.28 : 8,133.24 = 3,534 : x
  2. Step 2: Convert to fraction form
    5,891.28/8,133.24 = 3,534/x
  3. Step 3: Cross multiply
    5,891.28x = 8,133.24 × 3,534
  4. Step 4: Simplify right side
    5,891.28x = 28,742,870.16
  5. Step 5: Solve for x
    x = 28,742,870.16/5,891.28
  6. Step 6: Final answer
    x = 4,878.88

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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.