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Finding the Fourth Proportional to 3,429.04, 5,143.76 and 964.05

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Solution

The fourth proportional to 3,429.04, 5,143.76 and 964.05 is: 1,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.04 : 5,143.76 = 964.05 : x
  2. Step 2: Convert to fraction form
    3,429.04/5,143.76 = 964.05/x
  3. Step 3: Cross multiply
    3,429.04x = 5,143.76 × 964.05
  4. Step 4: Simplify right side
    3,429.04x = 4,958,841.83
  5. Step 5: Solve for x
    x = 4,958,841.83/3,429.04
  6. Step 6: Final answer
    x = 1,446.13

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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.