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Finding the Fourth Proportional to 5,292, 7,938.54 and 1,829.28

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Solution

The fourth proportional to 5,292, 7,938.54 and 1,829.28 is: 2,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292 : 7,938.54 = 1,829.28 : x
  2. Step 2: Convert to fraction form
    5,292/7,938.54 = 1,829.28/x
  3. Step 3: Cross multiply
    5,292x = 7,938.54 × 1,829.28
  4. Step 4: Simplify right side
    5,292x = 14,521,812.45
  5. Step 5: Solve for x
    x = 14,521,812.45/5,292
  6. Step 6: Final answer
    x = 2,744.11

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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.