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Finding the Fourth Proportional to 5,402.49, 7,455.10 and 3,164.76

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Solution

The fourth proportional to 5,402.49, 7,455.10 and 3,164.76 is: 4,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.49 : 7,455.10 = 3,164.76 : x
  2. Step 2: Convert to fraction form
    5,402.49/7,455.10 = 3,164.76/x
  3. Step 3: Cross multiply
    5,402.49x = 7,455.10 × 3,164.76
  4. Step 4: Simplify right side
    5,402.49x = 23,593,602.28
  5. Step 5: Solve for x
    x = 23,593,602.28/5,402.49
  6. Step 6: Final answer
    x = 4,367.17

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