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Finding the Fourth Proportional to 5,965.12, 8,946.52 and 1,748.88

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Solution

The fourth proportional to 5,965.12, 8,946.52 and 1,748.88 is: 2,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.12 : 8,946.52 = 1,748.88 : x
  2. Step 2: Convert to fraction form
    5,965.12/8,946.52 = 1,748.88/x
  3. Step 3: Cross multiply
    5,965.12x = 8,946.52 × 1,748.88
  4. Step 4: Simplify right side
    5,965.12x = 15,646,389.90
  5. Step 5: Solve for x
    x = 15,646,389.90/5,965.12
  6. Step 6: Final answer
    x = 2,622.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.