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Finding the Fourth Proportional to 4,935.67, 7,367.49 and 4,312.88

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Solution

The fourth proportional to 4,935.67, 7,367.49 and 4,312.88 is: 6,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.67 : 7,367.49 = 4,312.88 : x
  2. Step 2: Convert to fraction form
    4,935.67/7,367.49 = 4,312.88/x
  3. Step 3: Cross multiply
    4,935.67x = 7,367.49 × 4,312.88
  4. Step 4: Simplify right side
    4,935.67x = 31,775,041.87
  5. Step 5: Solve for x
    x = 31,775,041.87/4,935.67
  6. Step 6: Final answer
    x = 6,437.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.