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Finding the Fourth Proportional to 4,321.31, 6,444.74 and 4,243.55

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Solution

The fourth proportional to 4,321.31, 6,444.74 and 4,243.55 is: 6,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.31 : 6,444.74 = 4,243.55 : x
  2. Step 2: Convert to fraction form
    4,321.31/6,444.74 = 4,243.55/x
  3. Step 3: Cross multiply
    4,321.31x = 6,444.74 × 4,243.55
  4. Step 4: Simplify right side
    4,321.31x = 27,348,554.81
  5. Step 5: Solve for x
    x = 27,348,554.81/4,321.31
  6. Step 6: Final answer
    x = 6,328.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.