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Finding the Fourth Proportional to 5,429.90, 7,494.06 and 3,440.63

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Solution

The fourth proportional to 5,429.90, 7,494.06 and 3,440.63 is: 4,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.90 : 7,494.06 = 3,440.63 : x
  2. Step 2: Convert to fraction form
    5,429.90/7,494.06 = 3,440.63/x
  3. Step 3: Cross multiply
    5,429.90x = 7,494.06 × 3,440.63
  4. Step 4: Simplify right side
    5,429.90x = 25,784,306.39
  5. Step 5: Solve for x
    x = 25,784,306.39/5,429.90
  6. Step 6: Final answer
    x = 4,748.58

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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.