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Finding the Fourth Proportional to 5,293.40, 7,900.99 and 4,965.08

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Solution

The fourth proportional to 5,293.40, 7,900.99 and 4,965.08 is: 7,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.40 : 7,900.99 = 4,965.08 : x
  2. Step 2: Convert to fraction form
    5,293.40/7,900.99 = 4,965.08/x
  3. Step 3: Cross multiply
    5,293.40x = 7,900.99 × 4,965.08
  4. Step 4: Simplify right side
    5,293.40x = 39,229,047.43
  5. Step 5: Solve for x
    x = 39,229,047.43/5,293.40
  6. Step 6: Final answer
    x = 7,410.94

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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.