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Finding the Fourth Proportional to 3,602.63, 5,400.72 and 1,412.89

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Solution

The fourth proportional to 3,602.63, 5,400.72 and 1,412.89 is: 2,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.63 : 5,400.72 = 1,412.89 : x
  2. Step 2: Convert to fraction form
    3,602.63/5,400.72 = 1,412.89/x
  3. Step 3: Cross multiply
    3,602.63x = 5,400.72 × 1,412.89
  4. Step 4: Simplify right side
    3,602.63x = 7,630,623.28
  5. Step 5: Solve for x
    x = 7,630,623.28/3,602.63
  6. Step 6: Final answer
    x = 2,118.07

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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.