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Finding the Fourth Proportional to 5,299.91, 7,951.07 and 1,837.16

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Solution

The fourth proportional to 5,299.91, 7,951.07 and 1,837.16 is: 2,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.91 : 7,951.07 = 1,837.16 : x
  2. Step 2: Convert to fraction form
    5,299.91/7,951.07 = 1,837.16/x
  3. Step 3: Cross multiply
    5,299.91x = 7,951.07 × 1,837.16
  4. Step 4: Simplify right side
    5,299.91x = 14,607,387.76
  5. Step 5: Solve for x
    x = 14,607,387.76/5,299.91
  6. Step 6: Final answer
    x = 2,756.16

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1.5x scale

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.