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Finding the Fourth Proportional to 3,907.22, 5,860.38 and 985.32

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Solution

The fourth proportional to 3,907.22, 5,860.38 and 985.32 is: 1,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.22 : 5,860.38 = 985.32 : x
  2. Step 2: Convert to fraction form
    3,907.22/5,860.38 = 985.32/x
  3. Step 3: Cross multiply
    3,907.22x = 5,860.38 × 985.32
  4. Step 4: Simplify right side
    3,907.22x = 5,774,349.62
  5. Step 5: Solve for x
    x = 5,774,349.62/3,907.22
  6. Step 6: Final answer
    x = 1,477.87

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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.