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Finding the Fourth Proportional to 3,566.61, 5,349.65 and 1,101.44

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Solution

The fourth proportional to 3,566.61, 5,349.65 and 1,101.44 is: 1,652.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.61 : 5,349.65 = 1,101.44 : x
  2. Step 2: Convert to fraction form
    3,566.61/5,349.65 = 1,101.44/x
  3. Step 3: Cross multiply
    3,566.61x = 5,349.65 × 1,101.44
  4. Step 4: Simplify right side
    3,566.61x = 5,892,326.36
  5. Step 5: Solve for x
    x = 5,892,326.36/3,566.61
  6. Step 6: Final answer
    x = 1,652.08

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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.