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Finding the Fourth Proportional to 4,165.29, 5,748.03 and 2,396.93

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Solution

The fourth proportional to 4,165.29, 5,748.03 and 2,396.93 is: 3,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.29 : 5,748.03 = 2,396.93 : x
  2. Step 2: Convert to fraction form
    4,165.29/5,748.03 = 2,396.93/x
  3. Step 3: Cross multiply
    4,165.29x = 5,748.03 × 2,396.93
  4. Step 4: Simplify right side
    4,165.29x = 13,777,596.81
  5. Step 5: Solve for x
    x = 13,777,596.81/4,165.29
  6. Step 6: Final answer
    x = 3,307.72

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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.