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Finding the Fourth Proportional to 4,590, 6,884.28 and 3,814.98

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Solution

The fourth proportional to 4,590, 6,884.28 and 3,814.98 is: 5,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590 : 6,884.28 = 3,814.98 : x
  2. Step 2: Convert to fraction form
    4,590/6,884.28 = 3,814.98/x
  3. Step 3: Cross multiply
    4,590x = 6,884.28 × 3,814.98
  4. Step 4: Simplify right side
    4,590x = 26,263,390.51
  5. Step 5: Solve for x
    x = 26,263,390.51/4,590
  6. Step 6: Final answer
    x = 5,721.87

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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.