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Finding the Fourth Proportional to 5,402.24, 8,106.24 and 2,326.40

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Solution

The fourth proportional to 5,402.24, 8,106.24 and 2,326.40 is: 3,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.24 : 8,106.24 = 2,326.40 : x
  2. Step 2: Convert to fraction form
    5,402.24/8,106.24 = 2,326.40/x
  3. Step 3: Cross multiply
    5,402.24x = 8,106.24 × 2,326.40
  4. Step 4: Simplify right side
    5,402.24x = 18,858,356.74
  5. Step 5: Solve for x
    x = 18,858,356.74/5,402.24
  6. Step 6: Final answer
    x = 3,490.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.