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Finding the Fourth Proportional to 3,592.48, 5,387.50 and 1,401.84

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Solution

The fourth proportional to 3,592.48, 5,387.50 and 1,401.84 is: 2,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.48 : 5,387.50 = 1,401.84 : x
  2. Step 2: Convert to fraction form
    3,592.48/5,387.50 = 1,401.84/x
  3. Step 3: Cross multiply
    3,592.48x = 5,387.50 × 1,401.84
  4. Step 4: Simplify right side
    3,592.48x = 7,552,413
  5. Step 5: Solve for x
    x = 7,552,413/3,592.48
  6. Step 6: Final answer
    x = 2,102.28

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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.