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Finding the Fourth Proportional to 4,567, 6,852.64 and 2,486.92

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Solution

The fourth proportional to 4,567, 6,852.64 and 2,486.92 is: 3,731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567 : 6,852.64 = 2,486.92 : x
  2. Step 2: Convert to fraction form
    4,567/6,852.64 = 2,486.92/x
  3. Step 3: Cross multiply
    4,567x = 6,852.64 × 2,486.92
  4. Step 4: Simplify right side
    4,567x = 17,041,967.47
  5. Step 5: Solve for x
    x = 17,041,967.47/4,567
  6. Step 6: Final answer
    x = 3,731.55

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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.