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Finding the Fourth Proportional to 3,897.40, 5,374.26 and 3,339.64

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Solution

The fourth proportional to 3,897.40, 5,374.26 and 3,339.64 is: 4,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.40 : 5,374.26 = 3,339.64 : x
  2. Step 2: Convert to fraction form
    3,897.40/5,374.26 = 3,339.64/x
  3. Step 3: Cross multiply
    3,897.40x = 5,374.26 × 3,339.64
  4. Step 4: Simplify right side
    3,897.40x = 17,948,093.67
  5. Step 5: Solve for x
    x = 17,948,093.67/3,897.40
  6. Step 6: Final answer
    x = 4,605.15

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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.