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Finding the Fourth Proportional to 3,971.34, 5,480.19 and 2,400.30

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Solution

The fourth proportional to 3,971.34, 5,480.19 and 2,400.30 is: 3,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.34 : 5,480.19 = 2,400.30 : x
  2. Step 2: Convert to fraction form
    3,971.34/5,480.19 = 2,400.30/x
  3. Step 3: Cross multiply
    3,971.34x = 5,480.19 × 2,400.30
  4. Step 4: Simplify right side
    3,971.34x = 13,154,100.06
  5. Step 5: Solve for x
    x = 13,154,100.06/3,971.34
  6. Step 6: Final answer
    x = 3,312.26

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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.