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Finding the Fourth Proportional to 5,062.98, 7,594.40 and 1,364.90

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Solution

The fourth proportional to 5,062.98, 7,594.40 and 1,364.90 is: 2,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.98 : 7,594.40 = 1,364.90 : x
  2. Step 2: Convert to fraction form
    5,062.98/7,594.40 = 1,364.90/x
  3. Step 3: Cross multiply
    5,062.98x = 7,594.40 × 1,364.90
  4. Step 4: Simplify right side
    5,062.98x = 10,365,596.56
  5. Step 5: Solve for x
    x = 10,365,596.56/5,062.98
  6. Step 6: Final answer
    x = 2,047.33

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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.