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Finding the Fourth Proportional to 3,583, 5,374.50 and 1,274.50

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Solution

The fourth proportional to 3,583, 5,374.50 and 1,274.50 is: 1,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583 : 5,374.50 = 1,274.50 : x
  2. Step 2: Convert to fraction form
    3,583/5,374.50 = 1,274.50/x
  3. Step 3: Cross multiply
    3,583x = 5,374.50 × 1,274.50
  4. Step 4: Simplify right side
    3,583x = 6,849,800.25
  5. Step 5: Solve for x
    x = 6,849,800.25/3,583
  6. Step 6: Final answer
    x = 1,911.75

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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.