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Finding the Fourth Proportional to 4,199.59, 6,262.33 and 4,162.11

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Solution

The fourth proportional to 4,199.59, 6,262.33 and 4,162.11 is: 6,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.59 : 6,262.33 = 4,162.11 : x
  2. Step 2: Convert to fraction form
    4,199.59/6,262.33 = 4,162.11/x
  3. Step 3: Cross multiply
    4,199.59x = 6,262.33 × 4,162.11
  4. Step 4: Simplify right side
    4,199.59x = 26,064,506.32
  5. Step 5: Solve for x
    x = 26,064,506.32/4,199.59
  6. Step 6: Final answer
    x = 6,206.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.