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Finding the Fourth Proportional to 3,438.04, 5,157.63 and 1,129

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Solution

The fourth proportional to 3,438.04, 5,157.63 and 1,129 is: 1,693.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.04 : 5,157.63 = 1,129 : x
  2. Step 2: Convert to fraction form
    3,438.04/5,157.63 = 1,129/x
  3. Step 3: Cross multiply
    3,438.04x = 5,157.63 × 1,129
  4. Step 4: Simplify right side
    3,438.04x = 5,822,964.27
  5. Step 5: Solve for x
    x = 5,822,964.27/3,438.04
  6. Step 6: Final answer
    x = 1,693.69

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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.