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Finding the Fourth Proportional to 5,164.49, 7,746.84 and 1,835.39

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Solution

The fourth proportional to 5,164.49, 7,746.84 and 1,835.39 is: 2,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.49 : 7,746.84 = 1,835.39 : x
  2. Step 2: Convert to fraction form
    5,164.49/7,746.84 = 1,835.39/x
  3. Step 3: Cross multiply
    5,164.49x = 7,746.84 × 1,835.39
  4. Step 4: Simplify right side
    5,164.49x = 14,218,472.67
  5. Step 5: Solve for x
    x = 14,218,472.67/5,164.49
  6. Step 6: Final answer
    x = 2,753.12

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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.