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Finding the Fourth Proportional to 3,503.62, 5,254.50 and 1,423

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Solution

The fourth proportional to 3,503.62, 5,254.50 and 1,423 is: 2,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.62 : 5,254.50 = 1,423 : x
  2. Step 2: Convert to fraction form
    3,503.62/5,254.50 = 1,423/x
  3. Step 3: Cross multiply
    3,503.62x = 5,254.50 × 1,423
  4. Step 4: Simplify right side
    3,503.62x = 7,477,153.50
  5. Step 5: Solve for x
    x = 7,477,153.50/3,503.62
  6. Step 6: Final answer
    x = 2,134.12

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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.