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Finding the Fourth Proportional to 5,300.93, 7,952.54 and 2,014.08

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Solution

The fourth proportional to 5,300.93, 7,952.54 and 2,014.08 is: 3,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.93 : 7,952.54 = 2,014.08 : x
  2. Step 2: Convert to fraction form
    5,300.93/7,952.54 = 2,014.08/x
  3. Step 3: Cross multiply
    5,300.93x = 7,952.54 × 2,014.08
  4. Step 4: Simplify right side
    5,300.93x = 16,017,041.69
  5. Step 5: Solve for x
    x = 16,017,041.69/5,300.93
  6. Step 6: Final answer
    x = 3,021.56

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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.