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Finding the Fourth Proportional to 5,298.46, 7,313.84 and 4,549.42

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Solution

The fourth proportional to 5,298.46, 7,313.84 and 4,549.42 is: 6,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.46 : 7,313.84 = 4,549.42 : x
  2. Step 2: Convert to fraction form
    5,298.46/7,313.84 = 4,549.42/x
  3. Step 3: Cross multiply
    5,298.46x = 7,313.84 × 4,549.42
  4. Step 4: Simplify right side
    5,298.46x = 33,273,717.88
  5. Step 5: Solve for x
    x = 33,273,717.88/5,298.46
  6. Step 6: Final answer
    x = 6,279.88

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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.