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Finding the Fourth Proportional to 3,602.34, 5,405.33 and 1,412.30

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Solution

The fourth proportional to 3,602.34, 5,405.33 and 1,412.30 is: 2,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.34 : 5,405.33 = 1,412.30 : x
  2. Step 2: Convert to fraction form
    3,602.34/5,405.33 = 1,412.30/x
  3. Step 3: Cross multiply
    3,602.34x = 5,405.33 × 1,412.30
  4. Step 4: Simplify right side
    3,602.34x = 7,633,964.60
  5. Step 5: Solve for x
    x = 7,633,964.60/3,602.34
  6. Step 6: Final answer
    x = 2,119.17

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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.