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Finding the Fourth Proportional to 3,881.34, 5,356.26 and 2,309.40

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Solution

The fourth proportional to 3,881.34, 5,356.26 and 2,309.40 is: 3,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.34 : 5,356.26 = 2,309.40 : x
  2. Step 2: Convert to fraction form
    3,881.34/5,356.26 = 2,309.40/x
  3. Step 3: Cross multiply
    3,881.34x = 5,356.26 × 2,309.40
  4. Step 4: Simplify right side
    3,881.34x = 12,369,746.84
  5. Step 5: Solve for x
    x = 12,369,746.84/3,881.34
  6. Step 6: Final answer
    x = 3,186.98

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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.