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Finding the Fourth Proportional to 5,685.14, 8,533.04 and 3,498.14

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Solution

The fourth proportional to 5,685.14, 8,533.04 and 3,498.14 is: 5,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.14 : 8,533.04 = 3,498.14 : x
  2. Step 2: Convert to fraction form
    5,685.14/8,533.04 = 3,498.14/x
  3. Step 3: Cross multiply
    5,685.14x = 8,533.04 × 3,498.14
  4. Step 4: Simplify right side
    5,685.14x = 29,849,708.39
  5. Step 5: Solve for x
    x = 29,849,708.39/5,685.14
  6. Step 6: Final answer
    x = 5,250.48

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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.