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Finding the Fourth Proportional to 3,140.38, 4,710.11 and 1,907.46

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Solution

The fourth proportional to 3,140.38, 4,710.11 and 1,907.46 is: 2,860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.38 : 4,710.11 = 1,907.46 : x
  2. Step 2: Convert to fraction form
    3,140.38/4,710.11 = 1,907.46/x
  3. Step 3: Cross multiply
    3,140.38x = 4,710.11 × 1,907.46
  4. Step 4: Simplify right side
    3,140.38x = 8,984,346.42
  5. Step 5: Solve for x
    x = 8,984,346.42/3,140.38
  6. Step 6: Final answer
    x = 2,860.91

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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.