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Finding the Fourth Proportional to 4,762.68, 6,574.78 and 3,171.98

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Solution

The fourth proportional to 4,762.68, 6,574.78 and 3,171.98 is: 4,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.68 : 6,574.78 = 3,171.98 : x
  2. Step 2: Convert to fraction form
    4,762.68/6,574.78 = 3,171.98/x
  3. Step 3: Cross multiply
    4,762.68x = 6,574.78 × 3,171.98
  4. Step 4: Simplify right side
    4,762.68x = 20,855,029.86
  5. Step 5: Solve for x
    x = 20,855,029.86/4,762.68
  6. Step 6: Final answer
    x = 4,378.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.