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Finding the Fourth Proportional to 4,748.64, 6,553.02 and 2,760.30

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Solution

The fourth proportional to 4,748.64, 6,553.02 and 2,760.30 is: 3,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.64 : 6,553.02 = 2,760.30 : x
  2. Step 2: Convert to fraction form
    4,748.64/6,553.02 = 2,760.30/x
  3. Step 3: Cross multiply
    4,748.64x = 6,553.02 × 2,760.30
  4. Step 4: Simplify right side
    4,748.64x = 18,088,301.11
  5. Step 5: Solve for x
    x = 18,088,301.11/4,748.64
  6. Step 6: Final answer
    x = 3,809.15

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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.