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Finding the Fourth Proportional to 4,427.07, 6,640.67 and 1,140.09

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Solution

The fourth proportional to 4,427.07, 6,640.67 and 1,140.09 is: 1,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427.07 : 6,640.67 = 1,140.09 : x
  2. Step 2: Convert to fraction form
    4,427.07/6,640.67 = 1,140.09/x
  3. Step 3: Cross multiply
    4,427.07x = 6,640.67 × 1,140.09
  4. Step 4: Simplify right side
    4,427.07x = 7,570,961.46
  5. Step 5: Solve for x
    x = 7,570,961.46/4,427.07
  6. Step 6: Final answer
    x = 1,710.15

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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.