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Finding the Fourth Proportional to 4,165.63, 5,748.56 and 2,302.63

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Solution

The fourth proportional to 4,165.63, 5,748.56 and 2,302.63 is: 3,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.63 : 5,748.56 = 2,302.63 : x
  2. Step 2: Convert to fraction form
    4,165.63/5,748.56 = 2,302.63/x
  3. Step 3: Cross multiply
    4,165.63x = 5,748.56 × 2,302.63
  4. Step 4: Simplify right side
    4,165.63x = 13,236,806.71
  5. Step 5: Solve for x
    x = 13,236,806.71/4,165.63
  6. Step 6: Final answer
    x = 3,177.62

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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.