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Finding the Fourth Proportional to 4,203.46, 6,302.08 and 1,429.39

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Solution

The fourth proportional to 4,203.46, 6,302.08 and 1,429.39 is: 2,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.46 : 6,302.08 = 1,429.39 : x
  2. Step 2: Convert to fraction form
    4,203.46/6,302.08 = 1,429.39/x
  3. Step 3: Cross multiply
    4,203.46x = 6,302.08 × 1,429.39
  4. Step 4: Simplify right side
    4,203.46x = 9,008,130.13
  5. Step 5: Solve for x
    x = 9,008,130.13/4,203.46
  6. Step 6: Final answer
    x = 2,143.03

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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.