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Finding the Fourth Proportional to 3,412.64, 5,118.92 and 947.37

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Solution

The fourth proportional to 3,412.64, 5,118.92 and 947.37 is: 1,421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.64 : 5,118.92 = 947.37 : x
  2. Step 2: Convert to fraction form
    3,412.64/5,118.92 = 947.37/x
  3. Step 3: Cross multiply
    3,412.64x = 5,118.92 × 947.37
  4. Step 4: Simplify right side
    3,412.64x = 4,849,511.24
  5. Step 5: Solve for x
    x = 4,849,511.24/3,412.64
  6. Step 6: Final answer
    x = 1,421.04

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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.