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Finding the Fourth Proportional to 5,049.50, 7,574.29 and 1,762.60

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Solution

The fourth proportional to 5,049.50, 7,574.29 and 1,762.60 is: 2,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.50 : 7,574.29 = 1,762.60 : x
  2. Step 2: Convert to fraction form
    5,049.50/7,574.29 = 1,762.60/x
  3. Step 3: Cross multiply
    5,049.50x = 7,574.29 × 1,762.60
  4. Step 4: Simplify right side
    5,049.50x = 13,350,410.74
  5. Step 5: Solve for x
    x = 13,350,410.74/5,049.50
  6. Step 6: Final answer
    x = 2,643.91

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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.