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Finding the Fourth Proportional to 5,062.50, 6,986.93 and 2,966.63

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Solution

The fourth proportional to 5,062.50, 6,986.93 and 2,966.63 is: 4,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.50 : 6,986.93 = 2,966.63 : x
  2. Step 2: Convert to fraction form
    5,062.50/6,986.93 = 2,966.63/x
  3. Step 3: Cross multiply
    5,062.50x = 6,986.93 × 2,966.63
  4. Step 4: Simplify right side
    5,062.50x = 20,727,586.38
  5. Step 5: Solve for x
    x = 20,727,586.38/5,062.50
  6. Step 6: Final answer
    x = 4,094.34

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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.