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Finding the Fourth Proportional to 4,762.92, 7,142.58 and 2,297.16

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Solution

The fourth proportional to 4,762.92, 7,142.58 and 2,297.16 is: 3,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.92 : 7,142.58 = 2,297.16 : x
  2. Step 2: Convert to fraction form
    4,762.92/7,142.58 = 2,297.16/x
  3. Step 3: Cross multiply
    4,762.92x = 7,142.58 × 2,297.16
  4. Step 4: Simplify right side
    4,762.92x = 16,407,649.07
  5. Step 5: Solve for x
    x = 16,407,649.07/4,762.92
  6. Step 6: Final answer
    x = 3,444.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.