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Finding the Fourth Proportional to 5,461.04, 7,533.84 and 3,692

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Solution

The fourth proportional to 5,461.04, 7,533.84 and 3,692 is: 5,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.04 : 7,533.84 = 3,692 : x
  2. Step 2: Convert to fraction form
    5,461.04/7,533.84 = 3,692/x
  3. Step 3: Cross multiply
    5,461.04x = 7,533.84 × 3,692
  4. Step 4: Simplify right side
    5,461.04x = 27,814,937.28
  5. Step 5: Solve for x
    x = 27,814,937.28/5,461.04
  6. Step 6: Final answer
    x = 5,093.34

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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.