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Finding the Fourth Proportional to 5,132.06, 7,698.90 and 1,668.50

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Solution

The fourth proportional to 5,132.06, 7,698.90 and 1,668.50 is: 2,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.06 : 7,698.90 = 1,668.50 : x
  2. Step 2: Convert to fraction form
    5,132.06/7,698.90 = 1,668.50/x
  3. Step 3: Cross multiply
    5,132.06x = 7,698.90 × 1,668.50
  4. Step 4: Simplify right side
    5,132.06x = 12,845,614.65
  5. Step 5: Solve for x
    x = 12,845,614.65/5,132.06
  6. Step 6: Final answer
    x = 2,503.01

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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.