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Finding the Fourth Proportional to 5,966.91, 8,234.19 and 4,549.01

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Solution

The fourth proportional to 5,966.91, 8,234.19 and 4,549.01 is: 6,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.91 : 8,234.19 = 4,549.01 : x
  2. Step 2: Convert to fraction form
    5,966.91/8,234.19 = 4,549.01/x
  3. Step 3: Cross multiply
    5,966.91x = 8,234.19 × 4,549.01
  4. Step 4: Simplify right side
    5,966.91x = 37,457,371.48
  5. Step 5: Solve for x
    x = 37,457,371.48/5,966.91
  6. Step 6: Final answer
    x = 6,277.52

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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.