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Finding the Fourth Proportional to 4,169.75, 5,752.71 and 2,401.00

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Solution

The fourth proportional to 4,169.75, 5,752.71 and 2,401.00 is: 3,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.75 : 5,752.71 = 2,401.00 : x
  2. Step 2: Convert to fraction form
    4,169.75/5,752.71 = 2,401.00/x
  3. Step 3: Cross multiply
    4,169.75x = 5,752.71 × 2,401.00
  4. Step 4: Simplify right side
    4,169.75x = 13,812,242.33
  5. Step 5: Solve for x
    x = 13,812,242.33/4,169.75
  6. Step 6: Final answer
    x = 3,312.49

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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.