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Finding the Fourth Proportional to 4,588.49, 6,328.51 and 4,057.94

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Solution

The fourth proportional to 4,588.49, 6,328.51 and 4,057.94 is: 5,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.49 : 6,328.51 = 4,057.94 : x
  2. Step 2: Convert to fraction form
    4,588.49/6,328.51 = 4,057.94/x
  3. Step 3: Cross multiply
    4,588.49x = 6,328.51 × 4,057.94
  4. Step 4: Simplify right side
    4,588.49x = 25,680,672.08
  5. Step 5: Solve for x
    x = 25,680,672.08/4,588.49
  6. Step 6: Final answer
    x = 5,596.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.