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Finding the Fourth Proportional to 4,155, 5,733.90 and 2,292

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Solution

The fourth proportional to 4,155, 5,733.90 and 2,292 is: 3,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155 : 5,733.90 = 2,292 : x
  2. Step 2: Convert to fraction form
    4,155/5,733.90 = 2,292/x
  3. Step 3: Cross multiply
    4,155x = 5,733.90 × 2,292
  4. Step 4: Simplify right side
    4,155x = 13,142,098.80
  5. Step 5: Solve for x
    x = 13,142,098.80/4,155
  6. Step 6: Final answer
    x = 3,162.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.