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Finding the Fourth Proportional to 3,426.48, 4,748.09 and 3,218.40

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Solution

The fourth proportional to 3,426.48, 4,748.09 and 3,218.40 is: 4,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.48 : 4,748.09 = 3,218.40 : x
  2. Step 2: Convert to fraction form
    3,426.48/4,748.09 = 3,218.40/x
  3. Step 3: Cross multiply
    3,426.48x = 4,748.09 × 3,218.40
  4. Step 4: Simplify right side
    3,426.48x = 15,281,252.86
  5. Step 5: Solve for x
    x = 15,281,252.86/3,426.48
  6. Step 6: Final answer
    x = 4,459.75

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.