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Finding the Fourth Proportional to 4,160.02, 5,740.78 and 2,297.02

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Solution

The fourth proportional to 4,160.02, 5,740.78 and 2,297.02 is: 3,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.02 : 5,740.78 = 2,297.02 : x
  2. Step 2: Convert to fraction form
    4,160.02/5,740.78 = 2,297.02/x
  3. Step 3: Cross multiply
    4,160.02x = 5,740.78 × 2,297.02
  4. Step 4: Simplify right side
    4,160.02x = 13,186,686.48
  5. Step 5: Solve for x
    x = 13,186,686.48/4,160.02
  6. Step 6: Final answer
    x = 3,169.86

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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.