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Finding the Fourth Proportional to 4,164.90, 5,740.04 and 3,453

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Solution

The fourth proportional to 4,164.90, 5,740.04 and 3,453 is: 4,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.90 : 5,740.04 = 3,453 : x
  2. Step 2: Convert to fraction form
    4,164.90/5,740.04 = 3,453/x
  3. Step 3: Cross multiply
    4,164.90x = 5,740.04 × 3,453
  4. Step 4: Simplify right side
    4,164.90x = 19,820,358.12
  5. Step 5: Solve for x
    x = 19,820,358.12/4,164.90
  6. Step 6: Final answer
    x = 4,758.90

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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.