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Finding the Fourth Proportional to 4,350.94, 6,525.66 and 1,429.30

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Solution

The fourth proportional to 4,350.94, 6,525.66 and 1,429.30 is: 2,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350.94 : 6,525.66 = 1,429.30 : x
  2. Step 2: Convert to fraction form
    4,350.94/6,525.66 = 1,429.30/x
  3. Step 3: Cross multiply
    4,350.94x = 6,525.66 × 1,429.30
  4. Step 4: Simplify right side
    4,350.94x = 9,327,125.84
  5. Step 5: Solve for x
    x = 9,327,125.84/4,350.94
  6. Step 6: Final answer
    x = 2,143.70

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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.