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Finding the Fourth Proportional to 3,753.02, 5,173.12 and 3,005.80

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Solution

The fourth proportional to 3,753.02, 5,173.12 and 3,005.80 is: 4,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.02 : 5,173.12 = 3,005.80 : x
  2. Step 2: Convert to fraction form
    3,753.02/5,173.12 = 3,005.80/x
  3. Step 3: Cross multiply
    3,753.02x = 5,173.12 × 3,005.80
  4. Step 4: Simplify right side
    3,753.02x = 15,549,364.10
  5. Step 5: Solve for x
    x = 15,549,364.10/3,753.02
  6. Step 6: Final answer
    x = 4,143.16

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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.