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Finding the Fourth Proportional to 3,412.57, 5,118.36 and 947.56

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Solution

The fourth proportional to 3,412.57, 5,118.36 and 947.56 is: 1,421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.57 : 5,118.36 = 947.56 : x
  2. Step 2: Convert to fraction form
    3,412.57/5,118.36 = 947.56/x
  3. Step 3: Cross multiply
    3,412.57x = 5,118.36 × 947.56
  4. Step 4: Simplify right side
    3,412.57x = 4,849,953.20
  5. Step 5: Solve for x
    x = 4,849,953.20/3,412.57
  6. Step 6: Final answer
    x = 1,421.20

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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.