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Finding the Fourth Proportional to 5,113.56, 7,668.72 and 1,650

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Solution

The fourth proportional to 5,113.56, 7,668.72 and 1,650 is: 2,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.56 : 7,668.72 = 1,650 : x
  2. Step 2: Convert to fraction form
    5,113.56/7,668.72 = 1,650/x
  3. Step 3: Cross multiply
    5,113.56x = 7,668.72 × 1,650
  4. Step 4: Simplify right side
    5,113.56x = 12,653,388
  5. Step 5: Solve for x
    x = 12,653,388/5,113.56
  6. Step 6: Final answer
    x = 2,474.48

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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.