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Finding the Fourth Proportional to 4,140, 5,710.30 and 2,723.24

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Solution

The fourth proportional to 4,140, 5,710.30 and 2,723.24 is: 3,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140 : 5,710.30 = 2,723.24 : x
  2. Step 2: Convert to fraction form
    4,140/5,710.30 = 2,723.24/x
  3. Step 3: Cross multiply
    4,140x = 5,710.30 × 2,723.24
  4. Step 4: Simplify right side
    4,140x = 15,550,517.37
  5. Step 5: Solve for x
    x = 15,550,517.37/4,140
  6. Step 6: Final answer
    x = 3,756.16

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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.