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Finding the Fourth Proportional to 5,346.60, 8,012.70 and 2,265

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Solution

The fourth proportional to 5,346.60, 8,012.70 and 2,265 is: 3,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.60 : 8,012.70 = 2,265 : x
  2. Step 2: Convert to fraction form
    5,346.60/8,012.70 = 2,265/x
  3. Step 3: Cross multiply
    5,346.60x = 8,012.70 × 2,265
  4. Step 4: Simplify right side
    5,346.60x = 18,148,765.50
  5. Step 5: Solve for x
    x = 18,148,765.50/5,346.60
  6. Step 6: Final answer
    x = 3,394.45

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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.