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Finding the Fourth Proportional to 4,288.52, 6,430 and 2,823.22

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Solution

The fourth proportional to 4,288.52, 6,430 and 2,823.22 is: 4,233.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.52 : 6,430 = 2,823.22 : x
  2. Step 2: Convert to fraction form
    4,288.52/6,430 = 2,823.22/x
  3. Step 3: Cross multiply
    4,288.52x = 6,430 × 2,823.22
  4. Step 4: Simplify right side
    4,288.52x = 18,153,304.60
  5. Step 5: Solve for x
    x = 18,153,304.60/4,288.52
  6. Step 6: Final answer
    x = 4,233.00

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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.