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Finding the Fourth Proportional to 4,507.46, 6,756.31 and 1,543.16

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Solution

The fourth proportional to 4,507.46, 6,756.31 and 1,543.16 is: 2,313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.46 : 6,756.31 = 1,543.16 : x
  2. Step 2: Convert to fraction form
    4,507.46/6,756.31 = 1,543.16/x
  3. Step 3: Cross multiply
    4,507.46x = 6,756.31 × 1,543.16
  4. Step 4: Simplify right side
    4,507.46x = 10,426,086.16
  5. Step 5: Solve for x
    x = 10,426,086.16/4,507.46
  6. Step 6: Final answer
    x = 2,313.07

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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.