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Finding the Fourth Proportional to 3,365.63, 5,044.89 and 1,284.29

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Solution

The fourth proportional to 3,365.63, 5,044.89 and 1,284.29 is: 1,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.63 : 5,044.89 = 1,284.29 : x
  2. Step 2: Convert to fraction form
    3,365.63/5,044.89 = 1,284.29/x
  3. Step 3: Cross multiply
    3,365.63x = 5,044.89 × 1,284.29
  4. Step 4: Simplify right side
    3,365.63x = 6,479,101.78
  5. Step 5: Solve for x
    x = 6,479,101.78/3,365.63
  6. Step 6: Final answer
    x = 1,925.08

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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.