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Finding the Fourth Proportional to 4,289.63, 6,429.31 and 2,210.63

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Solution

The fourth proportional to 4,289.63, 6,429.31 and 2,210.63 is: 3,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.63 : 6,429.31 = 2,210.63 : x
  2. Step 2: Convert to fraction form
    4,289.63/6,429.31 = 2,210.63/x
  3. Step 3: Cross multiply
    4,289.63x = 6,429.31 × 2,210.63
  4. Step 4: Simplify right side
    4,289.63x = 14,212,825.57
  5. Step 5: Solve for x
    x = 14,212,825.57/4,289.63
  6. Step 6: Final answer
    x = 3,313.30

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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.