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Finding the Fourth Proportional to 6,185.92, 9,275.10 and 2,900.02

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Solution

The fourth proportional to 6,185.92, 9,275.10 and 2,900.02 is: 4,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.92 : 9,275.10 = 2,900.02 : x
  2. Step 2: Convert to fraction form
    6,185.92/9,275.10 = 2,900.02/x
  3. Step 3: Cross multiply
    6,185.92x = 9,275.10 × 2,900.02
  4. Step 4: Simplify right side
    6,185.92x = 26,897,975.50
  5. Step 5: Solve for x
    x = 26,897,975.50/6,185.92
  6. Step 6: Final answer
    x = 4,348.26

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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.