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Finding the Fourth Proportional to 3,897.56, 5,377.10 and 2,326.16

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Solution

The fourth proportional to 3,897.56, 5,377.10 and 2,326.16 is: 3,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.56 : 5,377.10 = 2,326.16 : x
  2. Step 2: Convert to fraction form
    3,897.56/5,377.10 = 2,326.16/x
  3. Step 3: Cross multiply
    3,897.56x = 5,377.10 × 2,326.16
  4. Step 4: Simplify right side
    3,897.56x = 12,507,994.94
  5. Step 5: Solve for x
    x = 12,507,994.94/3,897.56
  6. Step 6: Final answer
    x = 3,209.19

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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.