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Finding the Fourth Proportional to 3,663.44, 5,492.31 and 1,907.66

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Solution

The fourth proportional to 3,663.44, 5,492.31 and 1,907.66 is: 2,860.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.44 : 5,492.31 = 1,907.66 : x
  2. Step 2: Convert to fraction form
    3,663.44/5,492.31 = 1,907.66/x
  3. Step 3: Cross multiply
    3,663.44x = 5,492.31 × 1,907.66
  4. Step 4: Simplify right side
    3,663.44x = 10,477,460.09
  5. Step 5: Solve for x
    x = 10,477,460.09/3,663.44
  6. Step 6: Final answer
    x = 2,860.01

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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.