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Finding the Fourth Proportional to 7,298.82, 10,072.38 and 4,155

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Solution

The fourth proportional to 7,298.82, 10,072.38 and 4,155 is: 5,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.82 : 10,072.38 = 4,155 : x
  2. Step 2: Convert to fraction form
    7,298.82/10,072.38 = 4,155/x
  3. Step 3: Cross multiply
    7,298.82x = 10,072.38 × 4,155
  4. Step 4: Simplify right side
    7,298.82x = 41,850,718.13
  5. Step 5: Solve for x
    x = 41,850,718.13/7,298.82
  6. Step 6: Final answer
    x = 5,733.91

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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.