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Finding the Fourth Proportional to 4,202.66, 6,303.92 and 1,429.29

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Solution

The fourth proportional to 4,202.66, 6,303.92 and 1,429.29 is: 2,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.66 : 6,303.92 = 1,429.29 : x
  2. Step 2: Convert to fraction form
    4,202.66/6,303.92 = 1,429.29/x
  3. Step 3: Cross multiply
    4,202.66x = 6,303.92 × 1,429.29
  4. Step 4: Simplify right side
    4,202.66x = 9,010,122.67
  5. Step 5: Solve for x
    x = 9,010,122.67/4,202.66
  6. Step 6: Final answer
    x = 2,143.91

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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.